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Finding the Third Proportional to 385,050 and 598,517

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Solution

The third proportional to 385,050 and 598,517 is: 930,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,050 : 598,517 = 598,517 : x
  2. Step 2: Convert to fraction form
    385,050/598,517 = 598,517/x
  3. Step 3: Cross multiply
    385,050x = 598,517 × 598,517
  4. Step 4: Simplify right side
    385,050x = 358,222,599,289
  5. Step 5: Solve for x
    x = 358,222,599,289/385,050
  6. Step 6: Final answer
    x = 930,327.49

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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.