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Finding the Third Proportional to 475,632 and 697,680

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Solution

The third proportional to 475,632 and 697,680 is: 1,023,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,632 : 697,680 = 697,680 : x
  2. Step 2: Convert to fraction form
    475,632/697,680 = 697,680/x
  3. Step 3: Cross multiply
    475,632x = 697,680 × 697,680
  4. Step 4: Simplify right side
    475,632x = 486,757,382,400
  5. Step 5: Solve for x
    x = 486,757,382,400/475,632
  6. Step 6: Final answer
    x = 1,023,390.74

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.