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Finding the Third Proportional to 480,852 and 748,494

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Solution

The third proportional to 480,852 and 748,494 is: 1,165,105.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,852 : 748,494 = 748,494 : x
  2. Step 2: Convert to fraction form
    480,852/748,494 = 748,494/x
  3. Step 3: Cross multiply
    480,852x = 748,494 × 748,494
  4. Step 4: Simplify right side
    480,852x = 560,243,268,036
  5. Step 5: Solve for x
    x = 560,243,268,036/480,852
  6. Step 6: Final answer
    x = 1,165,105.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.