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Finding the Third Proportional to 468.47 and 702.70

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Solution

The third proportional to 468.47 and 702.70 is: 1,054.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.47 : 702.70 = 702.70 : x
  2. Step 2: Convert to fraction form
    468.47/702.70 = 702.70/x
  3. Step 3: Cross multiply
    468.47x = 702.70 × 702.70
  4. Step 4: Simplify right side
    468.47x = 493,791.68
  5. Step 5: Solve for x
    x = 493,791.68/468.47
  6. Step 6: Final answer
    x = 1,054.05

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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.