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Finding the Third Proportional to 310,815.75 and 464,304.75

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Solution

The third proportional to 310,815.75 and 464,304.75 is: 693,590.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,815.75 : 464,304.75 = 464,304.75 : x
  2. Step 2: Convert to fraction form
    310,815.75/464,304.75 = 464,304.75/x
  3. Step 3: Cross multiply
    310,815.75x = 464,304.75 × 464,304.75
  4. Step 4: Simplify right side
    310,815.75x = 215,578,900,872.56
  5. Step 5: Solve for x
    x = 215,578,900,872.56/310,815.75
  6. Step 6: Final answer
    x = 693,590.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.