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Finding the Third Proportional to 510,304 and 730,464

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Solution

The third proportional to 510,304 and 730,464 is: 1,045,607.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,304 : 730,464 = 730,464 : x
  2. Step 2: Convert to fraction form
    510,304/730,464 = 730,464/x
  3. Step 3: Cross multiply
    510,304x = 730,464 × 730,464
  4. Step 4: Simplify right side
    510,304x = 533,577,655,296
  5. Step 5: Solve for x
    x = 533,577,655,296/510,304
  6. Step 6: Final answer
    x = 1,045,607.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.