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Finding the Third Proportional to 532,763 and 815,001

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Solution

The third proportional to 532,763 and 815,001 is: 1,246,758.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,763 : 815,001 = 815,001 : x
  2. Step 2: Convert to fraction form
    532,763/815,001 = 815,001/x
  3. Step 3: Cross multiply
    532,763x = 815,001 × 815,001
  4. Step 4: Simplify right side
    532,763x = 664,226,630,001
  5. Step 5: Solve for x
    x = 664,226,630,001/532,763
  6. Step 6: Final answer
    x = 1,246,758.18

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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.