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Finding the Third Proportional to 219,654.50 and 479,586

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Solution

The third proportional to 219,654.50 and 479,586 is: 1,047,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,654.50 : 479,586 = 479,586 : x
  2. Step 2: Convert to fraction form
    219,654.50/479,586 = 479,586/x
  3. Step 3: Cross multiply
    219,654.50x = 479,586 × 479,586
  4. Step 4: Simplify right side
    219,654.50x = 230,002,731,396
  5. Step 5: Solve for x
    x = 230,002,731,396/219,654.50
  6. Step 6: Final answer
    x = 1,047,111.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.