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Finding the Third Proportional to 298,151.44 and 474,886.13

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Solution

The third proportional to 298,151.44 and 474,886.13 is: 756,383.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,151.44 : 474,886.13 = 474,886.13 : x
  2. Step 2: Convert to fraction form
    298,151.44/474,886.13 = 474,886.13/x
  3. Step 3: Cross multiply
    298,151.44x = 474,886.13 × 474,886.13
  4. Step 4: Simplify right side
    298,151.44x = 225,516,831,717.52
  5. Step 5: Solve for x
    x = 225,516,831,717.52/298,151.44
  6. Step 6: Final answer
    x = 756,383.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.