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Finding the Third Proportional to 702.56 and 1,075.22

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Solution

The third proportional to 702.56 and 1,075.22 is: 1,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.56 : 1,075.22 = 1,075.22 : x
  2. Step 2: Convert to fraction form
    702.56/1,075.22 = 1,075.22/x
  3. Step 3: Cross multiply
    702.56x = 1,075.22 × 1,075.22
  4. Step 4: Simplify right side
    702.56x = 1,156,095.36
  5. Step 5: Solve for x
    x = 1,156,095.36/702.56
  6. Step 6: Final answer
    x = 1,645.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.