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Finding the Third Proportional to 702.84 and 1,054.22

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Solution

The third proportional to 702.84 and 1,054.22 is: 1,581.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.84 : 1,054.22 = 1,054.22 : x
  2. Step 2: Convert to fraction form
    702.84/1,054.22 = 1,054.22/x
  3. Step 3: Cross multiply
    702.84x = 1,054.22 × 1,054.22
  4. Step 4: Simplify right side
    702.84x = 1,111,377.17
  5. Step 5: Solve for x
    x = 1,111,377.17/702.84
  6. Step 6: Final answer
    x = 1,581.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.