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Finding the Third Proportional to 489,760.03 and 756,803.81

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Solution

The third proportional to 489,760.03 and 756,803.81 is: 1,169,454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,760.03 : 756,803.81 = 756,803.81 : x
  2. Step 2: Convert to fraction form
    489,760.03/756,803.81 = 756,803.81/x
  3. Step 3: Cross multiply
    489,760.03x = 756,803.81 × 756,803.81
  4. Step 4: Simplify right side
    489,760.03x = 572,752,010,614.54
  5. Step 5: Solve for x
    x = 572,752,010,614.54/489,760.03
  6. Step 6: Final answer
    x = 1,169,454.37

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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.