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Finding the Third Proportional to 468.50 and 708.63

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Solution

The third proportional to 468.50 and 708.63 is: 1,071.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.50 : 708.63 = 708.63 : x
  2. Step 2: Convert to fraction form
    468.50/708.63 = 708.63/x
  3. Step 3: Cross multiply
    468.50x = 708.63 × 708.63
  4. Step 4: Simplify right side
    468.50x = 502,149.39
  5. Step 5: Solve for x
    x = 502,149.39/468.50
  6. Step 6: Final answer
    x = 1,071.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.