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Finding the Third Proportional to 488,851 and 726,100

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Solution

The third proportional to 488,851 and 726,100 is: 1,078,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,851 : 726,100 = 726,100 : x
  2. Step 2: Convert to fraction form
    488,851/726,100 = 726,100/x
  3. Step 3: Cross multiply
    488,851x = 726,100 × 726,100
  4. Step 4: Simplify right side
    488,851x = 527,221,210,000
  5. Step 5: Solve for x
    x = 527,221,210,000/488,851
  6. Step 6: Final answer
    x = 1,078,490.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.