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Finding the Third Proportional to 373,477 and 564,660

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Solution

The third proportional to 373,477 and 564,660 is: 853,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,477 : 564,660 = 564,660 : x
  2. Step 2: Convert to fraction form
    373,477/564,660 = 564,660/x
  3. Step 3: Cross multiply
    373,477x = 564,660 × 564,660
  4. Step 4: Simplify right side
    373,477x = 318,840,915,600
  5. Step 5: Solve for x
    x = 318,840,915,600/373,477
  6. Step 6: Final answer
    x = 853,709.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.