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Finding the Third Proportional to 532,332 and 800,658

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Solution

The third proportional to 532,332 and 800,658 is: 1,204,235.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,332 : 800,658 = 800,658 : x
  2. Step 2: Convert to fraction form
    532,332/800,658 = 800,658/x
  3. Step 3: Cross multiply
    532,332x = 800,658 × 800,658
  4. Step 4: Simplify right side
    532,332x = 641,053,232,964
  5. Step 5: Solve for x
    x = 641,053,232,964/532,332
  6. Step 6: Final answer
    x = 1,204,235.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.