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Finding the Third Proportional to 532,765 and 815,004

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Solution

The third proportional to 532,765 and 815,004 is: 1,246,762.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,765 : 815,004 = 815,004 : x
  2. Step 2: Convert to fraction form
    532,765/815,004 = 815,004/x
  3. Step 3: Cross multiply
    532,765x = 815,004 × 815,004
  4. Step 4: Simplify right side
    532,765x = 664,231,520,016
  5. Step 5: Solve for x
    x = 664,231,520,016/532,765
  6. Step 6: Final answer
    x = 1,246,762.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.