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Finding the Third Proportional to 627,304.50 and 972,708.75

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Solution

The third proportional to 627,304.50 and 972,708.75 is: 1,508,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,304.50 : 972,708.75 = 972,708.75 : x
  2. Step 2: Convert to fraction form
    627,304.50/972,708.75 = 972,708.75/x
  3. Step 3: Cross multiply
    627,304.50x = 972,708.75 × 972,708.75
  4. Step 4: Simplify right side
    627,304.50x = 946,162,312,326.56
  5. Step 5: Solve for x
    x = 946,162,312,326.56/627,304.50
  6. Step 6: Final answer
    x = 1,508,298.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.