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Finding the Third Proportional to 342,123.75 and 728,514

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Solution

The third proportional to 342,123.75 and 728,514 is: 1,551,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,123.75 : 728,514 = 728,514 : x
  2. Step 2: Convert to fraction form
    342,123.75/728,514 = 728,514/x
  3. Step 3: Cross multiply
    342,123.75x = 728,514 × 728,514
  4. Step 4: Simplify right side
    342,123.75x = 530,732,648,196
  5. Step 5: Solve for x
    x = 530,732,648,196/342,123.75
  6. Step 6: Final answer
    x = 1,551,288.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.