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Finding the Third Proportional to 229,905 and 502,578

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Solution

The third proportional to 229,905 and 502,578 is: 1,098,647.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,905 : 502,578 = 502,578 : x
  2. Step 2: Convert to fraction form
    229,905/502,578 = 502,578/x
  3. Step 3: Cross multiply
    229,905x = 502,578 × 502,578
  4. Step 4: Simplify right side
    229,905x = 252,584,646,084
  5. Step 5: Solve for x
    x = 252,584,646,084/229,905
  6. Step 6: Final answer
    x = 1,098,647.90

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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.