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Finding the Third Proportional to 481,392 and 748,404

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Solution

The third proportional to 481,392 and 748,404 is: 1,163,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,392 : 748,404 = 748,404 : x
  2. Step 2: Convert to fraction form
    481,392/748,404 = 748,404/x
  3. Step 3: Cross multiply
    481,392x = 748,404 × 748,404
  4. Step 4: Simplify right side
    481,392x = 560,108,547,216
  5. Step 5: Solve for x
    x = 560,108,547,216/481,392
  6. Step 6: Final answer
    x = 1,163,518.60

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