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Finding the Third Proportional to 386,374.50 and 568,372.50

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Solution

The third proportional to 386,374.50 and 568,372.50 is: 836,098.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,374.50 : 568,372.50 = 568,372.50 : x
  2. Step 2: Convert to fraction form
    386,374.50/568,372.50 = 568,372.50/x
  3. Step 3: Cross multiply
    386,374.50x = 568,372.50 × 568,372.50
  4. Step 4: Simplify right side
    386,374.50x = 323,047,298,756.25
  5. Step 5: Solve for x
    x = 323,047,298,756.25/386,374.50
  6. Step 6: Final answer
    x = 836,098.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.