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Finding the Third Proportional to 232,060 and 508,922

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Solution

The third proportional to 232,060 and 508,922 is: 1,116,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,060 : 508,922 = 508,922 : x
  2. Step 2: Convert to fraction form
    232,060/508,922 = 508,922/x
  3. Step 3: Cross multiply
    232,060x = 508,922 × 508,922
  4. Step 4: Simplify right side
    232,060x = 259,001,602,084
  5. Step 5: Solve for x
    x = 259,001,602,084/232,060
  6. Step 6: Final answer
    x = 1,116,097.57

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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.