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Finding the Third Proportional to 527,284 and 817,136

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Solution

The third proportional to 527,284 and 817,136 is: 1,266,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,284 : 817,136 = 817,136 : x
  2. Step 2: Convert to fraction form
    527,284/817,136 = 817,136/x
  3. Step 3: Cross multiply
    527,284x = 817,136 × 817,136
  4. Step 4: Simplify right side
    527,284x = 667,711,242,496
  5. Step 5: Solve for x
    x = 667,711,242,496/527,284
  6. Step 6: Final answer
    x = 1,266,321.84

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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.