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Finding the Third Proportional to 522,468 and 785,156

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Solution

The third proportional to 522,468 and 785,156 is: 1,179,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,468 : 785,156 = 785,156 : x
  2. Step 2: Convert to fraction form
    522,468/785,156 = 785,156/x
  3. Step 3: Cross multiply
    522,468x = 785,156 × 785,156
  4. Step 4: Simplify right side
    522,468x = 616,469,944,336
  5. Step 5: Solve for x
    x = 616,469,944,336/522,468
  6. Step 6: Final answer
    x = 1,179,919.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.