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Finding the Third Proportional to 677,463.75 and 997,471.13

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Solution

The third proportional to 677,463.75 and 997,471.13 is: 1,468,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,463.75 : 997,471.13 = 997,471.13 : x
  2. Step 2: Convert to fraction form
    677,463.75/997,471.13 = 997,471.13/x
  3. Step 3: Cross multiply
    677,463.75x = 997,471.13 × 997,471.13
  4. Step 4: Simplify right side
    677,463.75x = 994,948,645,208.77
  5. Step 5: Solve for x
    x = 994,948,645,208.77/677,463.75
  6. Step 6: Final answer
    x = 1,468,637.47

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Why These Related Problems?

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