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Finding the Third Proportional to 408,952 and 620,785

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Solution

The third proportional to 408,952 and 620,785 is: 942,345.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,952 : 620,785 = 620,785 : x
  2. Step 2: Convert to fraction form
    408,952/620,785 = 620,785/x
  3. Step 3: Cross multiply
    408,952x = 620,785 × 620,785
  4. Step 4: Simplify right side
    408,952x = 385,374,016,225
  5. Step 5: Solve for x
    x = 385,374,016,225/408,952
  6. Step 6: Final answer
    x = 942,345.35

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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.