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Finding the Third Proportional to 333,504 and 730,254

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Solution

The third proportional to 333,504 and 730,254 is: 1,598,994.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,504 : 730,254 = 730,254 : x
  2. Step 2: Convert to fraction form
    333,504/730,254 = 730,254/x
  3. Step 3: Cross multiply
    333,504x = 730,254 × 730,254
  4. Step 4: Simplify right side
    333,504x = 533,270,904,516
  5. Step 5: Solve for x
    x = 533,270,904,516/333,504
  6. Step 6: Final answer
    x = 1,598,994.03

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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.