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Finding the Third Proportional to 508,576 and 747,304

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Solution

The third proportional to 508,576 and 747,304 is: 1,098,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,576 : 747,304 = 747,304 : x
  2. Step 2: Convert to fraction form
    508,576/747,304 = 747,304/x
  3. Step 3: Cross multiply
    508,576x = 747,304 × 747,304
  4. Step 4: Simplify right side
    508,576x = 558,463,268,416
  5. Step 5: Solve for x
    x = 558,463,268,416/508,576
  6. Step 6: Final answer
    x = 1,098,092.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.