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Finding the Third Proportional to 584,382 and 887,427

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Solution

The third proportional to 584,382 and 887,427 is: 1,347,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,382 : 887,427 = 887,427 : x
  2. Step 2: Convert to fraction form
    584,382/887,427 = 887,427/x
  3. Step 3: Cross multiply
    584,382x = 887,427 × 887,427
  4. Step 4: Simplify right side
    584,382x = 787,526,680,329
  5. Step 5: Solve for x
    x = 787,526,680,329/584,382
  6. Step 6: Final answer
    x = 1,347,623.10

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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.