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Finding the Third Proportional to 310,098 and 466,962

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Solution

The third proportional to 310,098 and 466,962 is: 703,176.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,098 : 466,962 = 466,962 : x
  2. Step 2: Convert to fraction form
    310,098/466,962 = 466,962/x
  3. Step 3: Cross multiply
    310,098x = 466,962 × 466,962
  4. Step 4: Simplify right side
    310,098x = 218,053,509,444
  5. Step 5: Solve for x
    x = 218,053,509,444/310,098
  6. Step 6: Final answer
    x = 703,176.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.