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Finding the Third Proportional to 360,671.63 and 562,843.13

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Solution

The third proportional to 360,671.63 and 562,843.13 is: 878,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,671.63 : 562,843.13 = 562,843.13 : x
  2. Step 2: Convert to fraction form
    360,671.63/562,843.13 = 562,843.13/x
  3. Step 3: Cross multiply
    360,671.63x = 562,843.13 × 562,843.13
  4. Step 4: Simplify right side
    360,671.63x = 316,792,383,359.77
  5. Step 5: Solve for x
    x = 316,792,383,359.77/360,671.63
  6. Step 6: Final answer
    x = 878,340.19

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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.