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Finding the Third Proportional to 580,785 and 879,932.25

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Solution

The third proportional to 580,785 and 879,932.25 is: 1,333,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,785 : 879,932.25 = 879,932.25 : x
  2. Step 2: Convert to fraction form
    580,785/879,932.25 = 879,932.25/x
  3. Step 3: Cross multiply
    580,785x = 879,932.25 × 879,932.25
  4. Step 4: Simplify right side
    580,785x = 774,280,764,590.06
  5. Step 5: Solve for x
    x = 774,280,764,590.06/580,785
  6. Step 6: Final answer
    x = 1,333,162.47

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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.