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Finding the Third Proportional to 584,132 and 878,790

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Solution

The third proportional to 584,132 and 878,790 is: 1,322,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,132 : 878,790 = 878,790 : x
  2. Step 2: Convert to fraction form
    584,132/878,790 = 878,790/x
  3. Step 3: Cross multiply
    584,132x = 878,790 × 878,790
  4. Step 4: Simplify right side
    584,132x = 772,271,864,100
  5. Step 5: Solve for x
    x = 772,271,864,100/584,132
  6. Step 6: Final answer
    x = 1,322,084.50

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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.