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Finding the Third Proportional to 373,772 and 560,541

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Solution

The third proportional to 373,772 and 560,541 is: 840,636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,772 : 560,541 = 560,541 : x
  2. Step 2: Convert to fraction form
    373,772/560,541 = 560,541/x
  3. Step 3: Cross multiply
    373,772x = 560,541 × 560,541
  4. Step 4: Simplify right side
    373,772x = 314,206,212,681
  5. Step 5: Solve for x
    x = 314,206,212,681/373,772
  6. Step 6: Final answer
    x = 840,636.04

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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.