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Finding the Third Proportional to 632,299 and 948,461

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Solution

The third proportional to 632,299 and 948,461 is: 1,422,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,299 : 948,461 = 948,461 : x
  2. Step 2: Convert to fraction form
    632,299/948,461 = 948,461/x
  3. Step 3: Cross multiply
    632,299x = 948,461 × 948,461
  4. Step 4: Simplify right side
    632,299x = 899,578,268,521
  5. Step 5: Solve for x
    x = 899,578,268,521/632,299
  6. Step 6: Final answer
    x = 1,422,710.25

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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.