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Finding the Third Proportional to 632,297 and 948,458

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Solution

The third proportional to 632,297 and 948,458 is: 1,422,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,297 : 948,458 = 948,458 : x
  2. Step 2: Convert to fraction form
    632,297/948,458 = 948,458/x
  3. Step 3: Cross multiply
    632,297x = 948,458 × 948,458
  4. Step 4: Simplify right side
    632,297x = 899,572,577,764
  5. Step 5: Solve for x
    x = 899,572,577,764/632,297
  6. Step 6: Final answer
    x = 1,422,705.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.