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Finding the Third Proportional to 474.61 and 1,039.92

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Solution

The third proportional to 474.61 and 1,039.92 is: 2,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.61 : 1,039.92 = 1,039.92 : x
  2. Step 2: Convert to fraction form
    474.61/1,039.92 = 1,039.92/x
  3. Step 3: Cross multiply
    474.61x = 1,039.92 × 1,039.92
  4. Step 4: Simplify right side
    474.61x = 1,081,437.51
  5. Step 5: Solve for x
    x = 1,081,437.51/474.61
  6. Step 6: Final answer
    x = 2,278.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.