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Finding the Third Proportional to 299,701.50 and 627,108

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Solution

The third proportional to 299,701.50 and 627,108 is: 1,312,187.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,701.50 : 627,108 = 627,108 : x
  2. Step 2: Convert to fraction form
    299,701.50/627,108 = 627,108/x
  3. Step 3: Cross multiply
    299,701.50x = 627,108 × 627,108
  4. Step 4: Simplify right side
    299,701.50x = 393,264,443,664
  5. Step 5: Solve for x
    x = 393,264,443,664/299,701.50
  6. Step 6: Final answer
    x = 1,312,187.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.