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Finding the Third Proportional to 229,693 and 487,187

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Solution

The third proportional to 229,693 and 487,187 is: 1,033,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,693 : 487,187 = 487,187 : x
  2. Step 2: Convert to fraction form
    229,693/487,187 = 487,187/x
  3. Step 3: Cross multiply
    229,693x = 487,187 × 487,187
  4. Step 4: Simplify right side
    229,693x = 237,351,172,969
  5. Step 5: Solve for x
    x = 237,351,172,969/229,693
  6. Step 6: Final answer
    x = 1,033,340.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.