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Finding the Third Proportional to 466,371.84 and 720,172.27

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Solution

The third proportional to 466,371.84 and 720,172.27 is: 1,112,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,371.84 : 720,172.27 = 720,172.27 : x
  2. Step 2: Convert to fraction form
    466,371.84/720,172.27 = 720,172.27/x
  3. Step 3: Cross multiply
    466,371.84x = 720,172.27 × 720,172.27
  4. Step 4: Simplify right side
    466,371.84x = 518,648,092,175.45
  5. Step 5: Solve for x
    x = 518,648,092,175.45/466,371.84
  6. Step 6: Final answer
    x = 1,112,091.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.