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Finding the Third Proportional to 580,385 and 887,255

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Solution

The third proportional to 580,385 and 887,255 is: 1,356,377.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,385 : 887,255 = 887,255 : x
  2. Step 2: Convert to fraction form
    580,385/887,255 = 887,255/x
  3. Step 3: Cross multiply
    580,385x = 887,255 × 887,255
  4. Step 4: Simplify right side
    580,385x = 787,221,435,025
  5. Step 5: Solve for x
    x = 787,221,435,025/580,385
  6. Step 6: Final answer
    x = 1,356,377.98

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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.