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Finding the Third Proportional to 361,275.75 and 562,592.25

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Solution

The third proportional to 361,275.75 and 562,592.25 is: 876,089.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,275.75 : 562,592.25 = 562,592.25 : x
  2. Step 2: Convert to fraction form
    361,275.75/562,592.25 = 562,592.25/x
  3. Step 3: Cross multiply
    361,275.75x = 562,592.25 × 562,592.25
  4. Step 4: Simplify right side
    361,275.75x = 316,510,039,760.06
  5. Step 5: Solve for x
    x = 316,510,039,760.06/361,275.75
  6. Step 6: Final answer
    x = 876,089.91

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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.