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Finding the Third Proportional to 705 and 859.50

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Solution

The third proportional to 705 and 859.50 is: 1,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 859.50 = 859.50 : x
  2. Step 2: Convert to fraction form
    705/859.50 = 859.50/x
  3. Step 3: Cross multiply
    705x = 859.50 × 859.50
  4. Step 4: Simplify right side
    705x = 738,740.25
  5. Step 5: Solve for x
    x = 738,740.25/705
  6. Step 6: Final answer
    x = 1,047.86

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.