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Finding the Third Proportional to 304,827.75 and 474,689.63

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Solution

The third proportional to 304,827.75 and 474,689.63 is: 739,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,827.75 : 474,689.63 = 474,689.63 : x
  2. Step 2: Convert to fraction form
    304,827.75/474,689.63 = 474,689.63/x
  3. Step 3: Cross multiply
    304,827.75x = 474,689.63 × 474,689.63
  4. Step 4: Simplify right side
    304,827.75x = 225,330,240,082.64
  5. Step 5: Solve for x
    x = 225,330,240,082.64/304,827.75
  6. Step 6: Final answer
    x = 739,205.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.