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Finding the Third Proportional to 385,215.75 and 598,805.25

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Solution

The third proportional to 385,215.75 and 598,805.25 is: 930,823.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,215.75 : 598,805.25 = 598,805.25 : x
  2. Step 2: Convert to fraction form
    385,215.75/598,805.25 = 598,805.25/x
  3. Step 3: Cross multiply
    385,215.75x = 598,805.25 × 598,805.25
  4. Step 4: Simplify right side
    385,215.75x = 358,567,727,427.56
  5. Step 5: Solve for x
    x = 358,567,727,427.56/385,215.75
  6. Step 6: Final answer
    x = 930,823.12

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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.