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Finding the Third Proportional to 584,380 and 887,424

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Solution

The third proportional to 584,380 and 887,424 is: 1,347,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,380 : 887,424 = 887,424 : x
  2. Step 2: Convert to fraction form
    584,380/887,424 = 887,424/x
  3. Step 3: Cross multiply
    584,380x = 887,424 × 887,424
  4. Step 4: Simplify right side
    584,380x = 787,521,355,776
  5. Step 5: Solve for x
    x = 787,521,355,776/584,380
  6. Step 6: Final answer
    x = 1,347,618.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.