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Finding the Third Proportional to 360,680 and 562,855

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Solution

The third proportional to 360,680 and 562,855 is: 878,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,680 : 562,855 = 562,855 : x
  2. Step 2: Convert to fraction form
    360,680/562,855 = 562,855/x
  3. Step 3: Cross multiply
    360,680x = 562,855 × 562,855
  4. Step 4: Simplify right side
    360,680x = 316,805,751,025
  5. Step 5: Solve for x
    x = 316,805,751,025/360,680
  6. Step 6: Final answer
    x = 878,356.86

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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.