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Finding the Third Proportional to 583,874 and 878,403

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Solution

The third proportional to 583,874 and 878,403 is: 1,321,504.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,874 : 878,403 = 878,403 : x
  2. Step 2: Convert to fraction form
    583,874/878,403 = 878,403/x
  3. Step 3: Cross multiply
    583,874x = 878,403 × 878,403
  4. Step 4: Simplify right side
    583,874x = 771,591,830,409
  5. Step 5: Solve for x
    x = 771,591,830,409/583,874
  6. Step 6: Final answer
    x = 1,321,504.01

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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.