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Finding the Third Proportional to 617,965.88 and 956,351.81

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Solution

The third proportional to 617,965.88 and 956,351.81 is: 1,480,031.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,965.88 : 956,351.81 = 956,351.81 : x
  2. Step 2: Convert to fraction form
    617,965.88/956,351.81 = 956,351.81/x
  3. Step 3: Cross multiply
    617,965.88x = 956,351.81 × 956,351.81
  4. Step 4: Simplify right side
    617,965.88x = 914,608,789,272.04
  5. Step 5: Solve for x
    x = 914,608,789,272.04/617,965.88
  6. Step 6: Final answer
    x = 1,480,031.22

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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.