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Finding the Third Proportional to 371,884.50 and 763,371

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Solution

The third proportional to 371,884.50 and 763,371 is: 1,566,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,884.50 : 763,371 = 763,371 : x
  2. Step 2: Convert to fraction form
    371,884.50/763,371 = 763,371/x
  3. Step 3: Cross multiply
    371,884.50x = 763,371 × 763,371
  4. Step 4: Simplify right side
    371,884.50x = 582,735,283,641
  5. Step 5: Solve for x
    x = 582,735,283,641/371,884.50
  6. Step 6: Final answer
    x = 1,566,979.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.