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Finding the Third Proportional to 398,788 and 612,966

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Solution

The third proportional to 398,788 and 612,966 is: 942,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,788 : 612,966 = 612,966 : x
  2. Step 2: Convert to fraction form
    398,788/612,966 = 612,966/x
  3. Step 3: Cross multiply
    398,788x = 612,966 × 612,966
  4. Step 4: Simplify right side
    398,788x = 375,727,317,156
  5. Step 5: Solve for x
    x = 375,727,317,156/398,788
  6. Step 6: Final answer
    x = 942,173.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.