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Finding the Third Proportional to 483,257.81 and 954,320.06

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Solution

The third proportional to 483,257.81 and 954,320.06 is: 1,884,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,257.81 : 954,320.06 = 954,320.06 : x
  2. Step 2: Convert to fraction form
    483,257.81/954,320.06 = 954,320.06/x
  3. Step 3: Cross multiply
    483,257.81x = 954,320.06 × 954,320.06
  4. Step 4: Simplify right side
    483,257.81x = 910,726,781,690.00
  5. Step 5: Solve for x
    x = 910,726,781,690.00/483,257.81
  6. Step 6: Final answer
    x = 1,884,556.77

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.