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Finding the Third Proportional to 437,724 and 655,614

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Solution

The third proportional to 437,724 and 655,614 is: 981,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,724 : 655,614 = 655,614 : x
  2. Step 2: Convert to fraction form
    437,724/655,614 = 655,614/x
  3. Step 3: Cross multiply
    437,724x = 655,614 × 655,614
  4. Step 4: Simplify right side
    437,724x = 429,829,716,996
  5. Step 5: Solve for x
    x = 429,829,716,996/437,724
  6. Step 6: Final answer
    x = 981,965.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.