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Finding the Third Proportional to 306,414 and 465,948

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Solution

The third proportional to 306,414 and 465,948 is: 708,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,414 : 465,948 = 465,948 : x
  2. Step 2: Convert to fraction form
    306,414/465,948 = 465,948/x
  3. Step 3: Cross multiply
    306,414x = 465,948 × 465,948
  4. Step 4: Simplify right side
    306,414x = 217,107,538,704
  5. Step 5: Solve for x
    x = 217,107,538,704/306,414
  6. Step 6: Final answer
    x = 708,543.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.