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Finding the Third Proportional to 483,863.63 and 746,101.13

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Solution

The third proportional to 483,863.63 and 746,101.13 is: 1,150,462.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,863.63 : 746,101.13 = 746,101.13 : x
  2. Step 2: Convert to fraction form
    483,863.63/746,101.13 = 746,101.13/x
  3. Step 3: Cross multiply
    483,863.63x = 746,101.13 × 746,101.13
  4. Step 4: Simplify right side
    483,863.63x = 556,666,888,726.27
  5. Step 5: Solve for x
    x = 556,666,888,726.27/483,863.63
  6. Step 6: Final answer
    x = 1,150,462.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.