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Finding the Third Proportional to 197,762 and 424,324

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Solution

The third proportional to 197,762 and 424,324 is: 910,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,762 : 424,324 = 424,324 : x
  2. Step 2: Convert to fraction form
    197,762/424,324 = 424,324/x
  3. Step 3: Cross multiply
    197,762x = 424,324 × 424,324
  4. Step 4: Simplify right side
    197,762x = 180,050,856,976
  5. Step 5: Solve for x
    x = 180,050,856,976/197,762
  6. Step 6: Final answer
    x = 910,442.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.