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Finding the Third Proportional to 373,767 and 560,535

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Solution

The third proportional to 373,767 and 560,535 is: 840,629.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,767 : 560,535 = 560,535 : x
  2. Step 2: Convert to fraction form
    373,767/560,535 = 560,535/x
  3. Step 3: Cross multiply
    373,767x = 560,535 × 560,535
  4. Step 4: Simplify right side
    373,767x = 314,199,486,225
  5. Step 5: Solve for x
    x = 314,199,486,225/373,767
  6. Step 6: Final answer
    x = 840,629.29

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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.