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Finding the Third Proportional to 481,418.44 and 745,048.13

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Solution

The third proportional to 481,418.44 and 745,048.13 is: 1,153,044.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,418.44 : 745,048.13 = 745,048.13 : x
  2. Step 2: Convert to fraction form
    481,418.44/745,048.13 = 745,048.13/x
  3. Step 3: Cross multiply
    481,418.44x = 745,048.13 × 745,048.13
  4. Step 4: Simplify right side
    481,418.44x = 555,096,708,566.02
  5. Step 5: Solve for x
    x = 555,096,708,566.02/481,418.44
  6. Step 6: Final answer
    x = 1,153,044.14

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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.