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Finding the Third Proportional to 432.70 and 926.93

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Solution

The third proportional to 432.70 and 926.93 is: 1,985.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.70 : 926.93 = 926.93 : x
  2. Step 2: Convert to fraction form
    432.70/926.93 = 926.93/x
  3. Step 3: Cross multiply
    432.70x = 926.93 × 926.93
  4. Step 4: Simplify right side
    432.70x = 859,198.65
  5. Step 5: Solve for x
    x = 859,198.65/432.70
  6. Step 6: Final answer
    x = 1,985.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.