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Finding the Third Proportional to 385,115 and 598,674

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Solution

The third proportional to 385,115 and 598,674 is: 930,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,115 : 598,674 = 598,674 : x
  2. Step 2: Convert to fraction form
    385,115/598,674 = 598,674/x
  3. Step 3: Cross multiply
    385,115x = 598,674 × 598,674
  4. Step 4: Simplify right side
    385,115x = 358,410,558,276
  5. Step 5: Solve for x
    x = 358,410,558,276/385,115
  6. Step 6: Final answer
    x = 930,658.53

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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.