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Finding the Third Proportional to 400,250 and 608,627

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Solution

The third proportional to 400,250 and 608,627 is: 925,488.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,250 : 608,627 = 608,627 : x
  2. Step 2: Convert to fraction form
    400,250/608,627 = 608,627/x
  3. Step 3: Cross multiply
    400,250x = 608,627 × 608,627
  4. Step 4: Simplify right side
    400,250x = 370,426,825,129
  5. Step 5: Solve for x
    x = 370,426,825,129/400,250
  6. Step 6: Final answer
    x = 925,488.63

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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.