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Finding the Third Proportional to 417,328 and 899,552

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Solution

The third proportional to 417,328 and 899,552 is: 1,938,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,328 : 899,552 = 899,552 : x
  2. Step 2: Convert to fraction form
    417,328/899,552 = 899,552/x
  3. Step 3: Cross multiply
    417,328x = 899,552 × 899,552
  4. Step 4: Simplify right side
    417,328x = 809,193,800,704
  5. Step 5: Solve for x
    x = 809,193,800,704/417,328
  6. Step 6: Final answer
    x = 1,938,987.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.