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Finding the Third Proportional to 333,499 and 730,244

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Solution

The third proportional to 333,499 and 730,244 is: 1,598,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,499 : 730,244 = 730,244 : x
  2. Step 2: Convert to fraction form
    333,499/730,244 = 730,244/x
  3. Step 3: Cross multiply
    333,499x = 730,244 × 730,244
  4. Step 4: Simplify right side
    333,499x = 533,256,299,536
  5. Step 5: Solve for x
    x = 533,256,299,536/333,499
  6. Step 6: Final answer
    x = 1,598,974.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.