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Finding the Third Proportional to 231,488 and 502,352

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Solution

The third proportional to 231,488 and 502,352 is: 1,090,153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,488 : 502,352 = 502,352 : x
  2. Step 2: Convert to fraction form
    231,488/502,352 = 502,352/x
  3. Step 3: Cross multiply
    231,488x = 502,352 × 502,352
  4. Step 4: Simplify right side
    231,488x = 252,357,531,904
  5. Step 5: Solve for x
    x = 252,357,531,904/231,488
  6. Step 6: Final answer
    x = 1,090,153.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.