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Finding the Third Proportional to 335,081,514.75 and 730,496,553.38

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Solution

The third proportional to 335,081,514.75 and 730,496,553.38 is: 1,592,523,583.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,081,514.75 : 730,496,553.38 = 730,496,553.38 : x
  2. Step 2: Convert to fraction form
    335,081,514.75/730,496,553.38 = 730,496,553.38/x
  3. Step 3: Cross multiply
    335,081,514.75x = 730,496,553.38 × 730,496,553.38
  4. Step 4: Simplify right side
    335,081,514.75x = 533,625,214,492,754,240
  5. Step 5: Solve for x
    x = 533,625,214,492,754,240/335,081,514.75
  6. Step 6: Final answer
    x = 1,592,523,583.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.