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Finding the Third Proportional to 584,134 and 878,793

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Solution

The third proportional to 584,134 and 878,793 is: 1,322,089.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,134 : 878,793 = 878,793 : x
  2. Step 2: Convert to fraction form
    584,134/878,793 = 878,793/x
  3. Step 3: Cross multiply
    584,134x = 878,793 × 878,793
  4. Step 4: Simplify right side
    584,134x = 772,277,136,849
  5. Step 5: Solve for x
    x = 772,277,136,849/584,134
  6. Step 6: Final answer
    x = 1,322,089.00

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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.