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Finding the Third Proportional to 473.34 and 689.77

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Solution

The third proportional to 473.34 and 689.77 is: 1,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.34 : 689.77 = 689.77 : x
  2. Step 2: Convert to fraction form
    473.34/689.77 = 689.77/x
  3. Step 3: Cross multiply
    473.34x = 689.77 × 689.77
  4. Step 4: Simplify right side
    473.34x = 475,776.62
  5. Step 5: Solve for x
    x = 475,776.62/473.34
  6. Step 6: Final answer
    x = 1,005.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.