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Finding the Third Proportional to 230,033 and 502,712

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Solution

The third proportional to 230,033 and 502,712 is: 1,098,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,033 : 502,712 = 502,712 : x
  2. Step 2: Convert to fraction form
    230,033/502,712 = 502,712/x
  3. Step 3: Cross multiply
    230,033x = 502,712 × 502,712
  4. Step 4: Simplify right side
    230,033x = 252,719,354,944
  5. Step 5: Solve for x
    x = 252,719,354,944/230,033
  6. Step 6: Final answer
    x = 1,098,622.18

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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.