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Finding the Third Proportional to 373,448 and 560,448

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Solution

The third proportional to 373,448 and 560,448 is: 841,086.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,448 : 560,448 = 560,448 : x
  2. Step 2: Convert to fraction form
    373,448/560,448 = 560,448/x
  3. Step 3: Cross multiply
    373,448x = 560,448 × 560,448
  4. Step 4: Simplify right side
    373,448x = 314,101,960,704
  5. Step 5: Solve for x
    x = 314,101,960,704/373,448
  6. Step 6: Final answer
    x = 841,086.20

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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.