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Finding the Third Proportional to 391,056 and 584,838

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Solution

The third proportional to 391,056 and 584,838 is: 874,645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,056 : 584,838 = 584,838 : x
  2. Step 2: Convert to fraction form
    391,056/584,838 = 584,838/x
  3. Step 3: Cross multiply
    391,056x = 584,838 × 584,838
  4. Step 4: Simplify right side
    391,056x = 342,035,486,244
  5. Step 5: Solve for x
    x = 342,035,486,244/391,056
  6. Step 6: Final answer
    x = 874,645.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.