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Finding the Third Proportional to 476,180 and 720,414

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Solution

The third proportional to 476,180 and 720,414 is: 1,089,916.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,180 : 720,414 = 720,414 : x
  2. Step 2: Convert to fraction form
    476,180/720,414 = 720,414/x
  3. Step 3: Cross multiply
    476,180x = 720,414 × 720,414
  4. Step 4: Simplify right side
    476,180x = 518,996,331,396
  5. Step 5: Solve for x
    x = 518,996,331,396/476,180
  6. Step 6: Final answer
    x = 1,089,916.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.