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Finding the Third Proportional to 232,070 and 494,486

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Solution

The third proportional to 232,070 and 494,486 is: 1,053,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,070 : 494,486 = 494,486 : x
  2. Step 2: Convert to fraction form
    232,070/494,486 = 494,486/x
  3. Step 3: Cross multiply
    232,070x = 494,486 × 494,486
  4. Step 4: Simplify right side
    232,070x = 244,516,404,196
  5. Step 5: Solve for x
    x = 244,516,404,196/232,070
  6. Step 6: Final answer
    x = 1,053,632.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.