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Finding the Third Proportional to 185,448 and 400,461

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Solution

The third proportional to 185,448 and 400,461 is: 864,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,448 : 400,461 = 400,461 : x
  2. Step 2: Convert to fraction form
    185,448/400,461 = 400,461/x
  3. Step 3: Cross multiply
    185,448x = 400,461 × 400,461
  4. Step 4: Simplify right side
    185,448x = 160,369,012,521
  5. Step 5: Solve for x
    x = 160,369,012,521/185,448
  6. Step 6: Final answer
    x = 864,765.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.