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Finding the Third Proportional to 199,730 and 424,084

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Solution

The third proportional to 199,730 and 424,084 is: 900,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,730 : 424,084 = 424,084 : x
  2. Step 2: Convert to fraction form
    199,730/424,084 = 424,084/x
  3. Step 3: Cross multiply
    199,730x = 424,084 × 424,084
  4. Step 4: Simplify right side
    199,730x = 179,847,239,056
  5. Step 5: Solve for x
    x = 179,847,239,056/199,730
  6. Step 6: Final answer
    x = 900,451.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.