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Finding the Third Proportional to 232,716 and 502,564

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Solution

The third proportional to 232,716 and 502,564 is: 1,085,316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,716 : 502,564 = 502,564 : x
  2. Step 2: Convert to fraction form
    232,716/502,564 = 502,564/x
  3. Step 3: Cross multiply
    232,716x = 502,564 × 502,564
  4. Step 4: Simplify right side
    232,716x = 252,570,574,096
  5. Step 5: Solve for x
    x = 252,570,574,096/232,716
  6. Step 6: Final answer
    x = 1,085,316.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.