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Finding the Third Proportional to 576,785.50 and 1,242,315.50

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Solution

The third proportional to 576,785.50 and 1,242,315.50 is: 2,675,774.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,785.50 : 1,242,315.50 = 1,242,315.50 : x
  2. Step 2: Convert to fraction form
    576,785.50/1,242,315.50 = 1,242,315.50/x
  3. Step 3: Cross multiply
    576,785.50x = 1,242,315.50 × 1,242,315.50
  4. Step 4: Simplify right side
    576,785.50x = 1,543,347,801,540.25
  5. Step 5: Solve for x
    x = 1,543,347,801,540.25/576,785.50
  6. Step 6: Final answer
    x = 2,675,774.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.