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Finding the Third Proportional to 219,658.50 and 479,593.13

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Solution

The third proportional to 219,658.50 and 479,593.13 is: 1,047,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,658.50 : 479,593.13 = 479,593.13 : x
  2. Step 2: Convert to fraction form
    219,658.50/479,593.13 = 479,593.13/x
  3. Step 3: Cross multiply
    219,658.50x = 479,593.13 × 479,593.13
  4. Step 4: Simplify right side
    219,658.50x = 230,009,565,547.27
  5. Step 5: Solve for x
    x = 230,009,565,547.27/219,658.50
  6. Step 6: Final answer
    x = 1,047,123.45

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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.