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Finding the Third Proportional to 300,514.50 and 429,708.38

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Solution

The third proportional to 300,514.50 and 429,708.38 is: 614,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,514.50 : 429,708.38 = 429,708.38 : x
  2. Step 2: Convert to fraction form
    300,514.50/429,708.38 = 429,708.38/x
  3. Step 3: Cross multiply
    300,514.50x = 429,708.38 × 429,708.38
  4. Step 4: Simplify right side
    300,514.50x = 184,649,287,545.14
  5. Step 5: Solve for x
    x = 184,649,287,545.14/300,514.50
  6. Step 6: Final answer
    x = 614,443.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.