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Finding the Third Proportional to 588,325.78 and 1,284,543.56

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Solution

The third proportional to 588,325.78 and 1,284,543.56 is: 2,804,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,325.78 : 1,284,543.56 = 1,284,543.56 : x
  2. Step 2: Convert to fraction form
    588,325.78/1,284,543.56 = 1,284,543.56/x
  3. Step 3: Cross multiply
    588,325.78x = 1,284,543.56 × 1,284,543.56
  4. Step 4: Simplify right side
    588,325.78x = 1,650,052,163,960.19
  5. Step 5: Solve for x
    x = 1,650,052,163,960.19/588,325.78
  6. Step 6: Final answer
    x = 2,804,657.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.