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Finding the Third Proportional to 625,225.50 and 968,727.38

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Solution

The third proportional to 625,225.50 and 968,727.38 is: 1,500,950.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,225.50 : 968,727.38 = 968,727.38 : x
  2. Step 2: Convert to fraction form
    625,225.50/968,727.38 = 968,727.38/x
  3. Step 3: Cross multiply
    625,225.50x = 968,727.38 × 968,727.38
  4. Step 4: Simplify right side
    625,225.50x = 938,432,727,074.39
  5. Step 5: Solve for x
    x = 938,432,727,074.39/625,225.50
  6. Step 6: Final answer
    x = 1,500,950.82

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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.