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Finding the Third Proportional to 584,150 and 884,023

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Solution

The third proportional to 584,150 and 884,023 is: 1,337,835.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,150 : 884,023 = 884,023 : x
  2. Step 2: Convert to fraction form
    584,150/884,023 = 884,023/x
  3. Step 3: Cross multiply
    584,150x = 884,023 × 884,023
  4. Step 4: Simplify right side
    584,150x = 781,496,664,529
  5. Step 5: Solve for x
    x = 781,496,664,529/584,150
  6. Step 6: Final answer
    x = 1,337,835.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.