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Finding the Third Proportional to 386,172 and 614,202

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Solution

The third proportional to 386,172 and 614,202 is: 976,881.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,172 : 614,202 = 614,202 : x
  2. Step 2: Convert to fraction form
    386,172/614,202 = 614,202/x
  3. Step 3: Cross multiply
    386,172x = 614,202 × 614,202
  4. Step 4: Simplify right side
    386,172x = 377,244,096,804
  5. Step 5: Solve for x
    x = 377,244,096,804/386,172
  6. Step 6: Final answer
    x = 976,881.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.