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Finding the Third Proportional to 475,776 and 645,840

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Solution

The third proportional to 475,776 and 645,840 is: 876,692.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,776 : 645,840 = 645,840 : x
  2. Step 2: Convert to fraction form
    475,776/645,840 = 645,840/x
  3. Step 3: Cross multiply
    475,776x = 645,840 × 645,840
  4. Step 4: Simplify right side
    475,776x = 417,109,305,600
  5. Step 5: Solve for x
    x = 417,109,305,600/475,776
  6. Step 6: Final answer
    x = 876,692.62

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.