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Finding the Third Proportional to 617,952 and 956,331

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Solution

The third proportional to 617,952 and 956,331 is: 1,480,000.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,952 : 956,331 = 956,331 : x
  2. Step 2: Convert to fraction form
    617,952/956,331 = 956,331/x
  3. Step 3: Cross multiply
    617,952x = 956,331 × 956,331
  4. Step 4: Simplify right side
    617,952x = 914,568,981,561
  5. Step 5: Solve for x
    x = 914,568,981,561/617,952
  6. Step 6: Final answer
    x = 1,480,000.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.