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Finding the Third Proportional to 232,332 and 508,932

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Solution

The third proportional to 232,332 and 508,932 is: 1,114,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,332 : 508,932 = 508,932 : x
  2. Step 2: Convert to fraction form
    232,332/508,932 = 508,932/x
  3. Step 3: Cross multiply
    232,332x = 508,932 × 508,932
  4. Step 4: Simplify right side
    232,332x = 259,011,780,624
  5. Step 5: Solve for x
    x = 259,011,780,624/232,332
  6. Step 6: Final answer
    x = 1,114,834.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.