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Finding the Third Proportional to 229,103 and 479,070

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Solution

The third proportional to 229,103 and 479,070 is: 1,001,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,103 : 479,070 = 479,070 : x
  2. Step 2: Convert to fraction form
    229,103/479,070 = 479,070/x
  3. Step 3: Cross multiply
    229,103x = 479,070 × 479,070
  4. Step 4: Simplify right side
    229,103x = 229,508,064,900
  5. Step 5: Solve for x
    x = 229,508,064,900/229,103
  6. Step 6: Final answer
    x = 1,001,768.05

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.