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Finding the Third Proportional to 385,045 and 598,512

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Solution

The third proportional to 385,045 and 598,512 is: 930,324.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,045 : 598,512 = 598,512 : x
  2. Step 2: Convert to fraction form
    385,045/598,512 = 598,512/x
  3. Step 3: Cross multiply
    385,045x = 598,512 × 598,512
  4. Step 4: Simplify right side
    385,045x = 358,216,614,144
  5. Step 5: Solve for x
    x = 358,216,614,144/385,045
  6. Step 6: Final answer
    x = 930,324.02

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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.