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Finding the Third Proportional to 199,542 and 430,737

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Solution

The third proportional to 199,542 and 430,737 is: 929,801.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,542 : 430,737 = 430,737 : x
  2. Step 2: Convert to fraction form
    199,542/430,737 = 430,737/x
  3. Step 3: Cross multiply
    199,542x = 430,737 × 430,737
  4. Step 4: Simplify right side
    199,542x = 185,534,363,169
  5. Step 5: Solve for x
    x = 185,534,363,169/199,542
  6. Step 6: Final answer
    x = 929,801.06

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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.