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Finding the Third Proportional to 448,395.75 and 975,520.13

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Solution

The third proportional to 448,395.75 and 975,520.13 is: 2,122,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,395.75 : 975,520.13 = 975,520.13 : x
  2. Step 2: Convert to fraction form
    448,395.75/975,520.13 = 975,520.13/x
  3. Step 3: Cross multiply
    448,395.75x = 975,520.13 × 975,520.13
  4. Step 4: Simplify right side
    448,395.75x = 951,639,514,280.02
  5. Step 5: Solve for x
    x = 951,639,514,280.02/448,395.75
  6. Step 6: Final answer
    x = 2,122,320.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.