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Finding the Third Proportional to 385,112.25 and 598,657.50

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Solution

The third proportional to 385,112.25 and 598,657.50 is: 930,613.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,112.25 : 598,657.50 = 598,657.50 : x
  2. Step 2: Convert to fraction form
    385,112.25/598,657.50 = 598,657.50/x
  3. Step 3: Cross multiply
    385,112.25x = 598,657.50 × 598,657.50
  4. Step 4: Simplify right side
    385,112.25x = 358,390,802,306.25
  5. Step 5: Solve for x
    x = 358,390,802,306.25/385,112.25
  6. Step 6: Final answer
    x = 930,613.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.