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Finding the Third Proportional to 282,742.88 and 616,291.88

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Solution

The third proportional to 282,742.88 and 616,291.88 is: 1,343,325.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,742.88 : 616,291.88 = 616,291.88 : x
  2. Step 2: Convert to fraction form
    282,742.88/616,291.88 = 616,291.88/x
  3. Step 3: Cross multiply
    282,742.88x = 616,291.88 × 616,291.88
  4. Step 4: Simplify right side
    282,742.88x = 379,815,675,191.02
  5. Step 5: Solve for x
    x = 379,815,675,191.02/282,742.88
  6. Step 6: Final answer
    x = 1,343,325.36

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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.