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Finding the Third Proportional to 232,725 and 506,922

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Solution

The third proportional to 232,725 and 506,922 is: 1,104,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,725 : 506,922 = 506,922 : x
  2. Step 2: Convert to fraction form
    232,725/506,922 = 506,922/x
  3. Step 3: Cross multiply
    232,725x = 506,922 × 506,922
  4. Step 4: Simplify right side
    232,725x = 256,969,914,084
  5. Step 5: Solve for x
    x = 256,969,914,084/232,725
  6. Step 6: Final answer
    x = 1,104,178.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.