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Finding the Third Proportional to 481,140 and 744,948

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Solution

The third proportional to 481,140 and 744,948 is: 1,153,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,140 : 744,948 = 744,948 : x
  2. Step 2: Convert to fraction form
    481,140/744,948 = 744,948/x
  3. Step 3: Cross multiply
    481,140x = 744,948 × 744,948
  4. Step 4: Simplify right side
    481,140x = 554,947,522,704
  5. Step 5: Solve for x
    x = 554,947,522,704/481,140
  6. Step 6: Final answer
    x = 1,153,401.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.