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Finding the Third Proportional to 199,514 and 430,681

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Solution

The third proportional to 199,514 and 430,681 is: 929,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,514 : 430,681 = 430,681 : x
  2. Step 2: Convert to fraction form
    199,514/430,681 = 430,681/x
  3. Step 3: Cross multiply
    199,514x = 430,681 × 430,681
  4. Step 4: Simplify right side
    199,514x = 185,486,123,761
  5. Step 5: Solve for x
    x = 185,486,123,761/199,514
  6. Step 6: Final answer
    x = 929,689.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.