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Finding the Third Proportional to 527,932 and 850,004

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Solution

The third proportional to 527,932 and 850,004 is: 1,368,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,932 : 850,004 = 850,004 : x
  2. Step 2: Convert to fraction form
    527,932/850,004 = 850,004/x
  3. Step 3: Cross multiply
    527,932x = 850,004 × 850,004
  4. Step 4: Simplify right side
    527,932x = 722,506,800,016
  5. Step 5: Solve for x
    x = 722,506,800,016/527,932
  6. Step 6: Final answer
    x = 1,368,560.34

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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.