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Finding the Third Proportional to 785.50 and 1,098.50

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Solution

The third proportional to 785.50 and 1,098.50 is: 1,536.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.50 : 1,098.50 = 1,098.50 : x
  2. Step 2: Convert to fraction form
    785.50/1,098.50 = 1,098.50/x
  3. Step 3: Cross multiply
    785.50x = 1,098.50 × 1,098.50
  4. Step 4: Simplify right side
    785.50x = 1,206,702.25
  5. Step 5: Solve for x
    x = 1,206,702.25/785.50
  6. Step 6: Final answer
    x = 1,536.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.