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Finding the Third Proportional to 585,616.50 and 795,480.75

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Solution

The third proportional to 585,616.50 and 795,480.75 is: 1,080,552.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,616.50 : 795,480.75 = 795,480.75 : x
  2. Step 2: Convert to fraction form
    585,616.50/795,480.75 = 795,480.75/x
  3. Step 3: Cross multiply
    585,616.50x = 795,480.75 × 795,480.75
  4. Step 4: Simplify right side
    585,616.50x = 632,789,623,620.56
  5. Step 5: Solve for x
    x = 632,789,623,620.56/585,616.50
  6. Step 6: Final answer
    x = 1,080,552.93

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.