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Finding the Third Proportional to 527,856 and 816,984

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Solution

The third proportional to 527,856 and 816,984 is: 1,264,479.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,856 : 816,984 = 816,984 : x
  2. Step 2: Convert to fraction form
    527,856/816,984 = 816,984/x
  3. Step 3: Cross multiply
    527,856x = 816,984 × 816,984
  4. Step 4: Simplify right side
    527,856x = 667,462,856,256
  5. Step 5: Solve for x
    x = 667,462,856,256/527,856
  6. Step 6: Final answer
    x = 1,264,479.06

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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.