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Finding the Third Proportional to 303,124 and 474,466

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Solution

The third proportional to 303,124 and 474,466 is: 742,659.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,124 : 474,466 = 474,466 : x
  2. Step 2: Convert to fraction form
    303,124/474,466 = 474,466/x
  3. Step 3: Cross multiply
    303,124x = 474,466 × 474,466
  4. Step 4: Simplify right side
    303,124x = 225,117,985,156
  5. Step 5: Solve for x
    x = 225,117,985,156/303,124
  6. Step 6: Final answer
    x = 742,659.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.