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Finding the Third Proportional to 527,930 and 850,001

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Solution

The third proportional to 527,930 and 850,001 is: 1,368,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,930 : 850,001 = 850,001 : x
  2. Step 2: Convert to fraction form
    527,930/850,001 = 850,001/x
  3. Step 3: Cross multiply
    527,930x = 850,001 × 850,001
  4. Step 4: Simplify right side
    527,930x = 722,501,700,001
  5. Step 5: Solve for x
    x = 722,501,700,001/527,930
  6. Step 6: Final answer
    x = 1,368,555.87

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.