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Finding the Third Proportional to 304,956.50 and 474,042.75

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Solution

The third proportional to 304,956.50 and 474,042.75 is: 736,880.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,956.50 : 474,042.75 = 474,042.75 : x
  2. Step 2: Convert to fraction form
    304,956.50/474,042.75 = 474,042.75/x
  3. Step 3: Cross multiply
    304,956.50x = 474,042.75 × 474,042.75
  4. Step 4: Simplify right side
    304,956.50x = 224,716,528,827.56
  5. Step 5: Solve for x
    x = 224,716,528,827.56/304,956.50
  6. Step 6: Final answer
    x = 736,880.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.