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Finding the Third Proportional to 434,727 and 639,496.69

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Solution

The third proportional to 434,727 and 639,496.69 is: 940,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,727 : 639,496.69 = 639,496.69 : x
  2. Step 2: Convert to fraction form
    434,727/639,496.69 = 639,496.69/x
  3. Step 3: Cross multiply
    434,727x = 639,496.69 × 639,496.69
  4. Step 4: Simplify right side
    434,727x = 408,956,013,323.47
  5. Step 5: Solve for x
    x = 408,956,013,323.47/434,727
  6. Step 6: Final answer
    x = 940,719.15

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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.