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Finding the Third Proportional to 580,180 and 887,442

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Solution

The third proportional to 580,180 and 887,442 is: 1,357,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,180 : 887,442 = 887,442 : x
  2. Step 2: Convert to fraction form
    580,180/887,442 = 887,442/x
  3. Step 3: Cross multiply
    580,180x = 887,442 × 887,442
  4. Step 4: Simplify right side
    580,180x = 787,553,303,364
  5. Step 5: Solve for x
    x = 787,553,303,364/580,180
  6. Step 6: Final answer
    x = 1,357,429.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.