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Finding the Third Proportional to 361,264.50 and 562,578

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Solution

The third proportional to 361,264.50 and 562,578 is: 876,072.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,264.50 : 562,578 = 562,578 : x
  2. Step 2: Convert to fraction form
    361,264.50/562,578 = 562,578/x
  3. Step 3: Cross multiply
    361,264.50x = 562,578 × 562,578
  4. Step 4: Simplify right side
    361,264.50x = 316,494,006,084
  5. Step 5: Solve for x
    x = 316,494,006,084/361,264.50
  6. Step 6: Final answer
    x = 876,072.81

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