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Finding the Third Proportional to 430.88 and 732.94

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Solution

The third proportional to 430.88 and 732.94 is: 1,246.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.88 : 732.94 = 732.94 : x
  2. Step 2: Convert to fraction form
    430.88/732.94 = 732.94/x
  3. Step 3: Cross multiply
    430.88x = 732.94 × 732.94
  4. Step 4: Simplify right side
    430.88x = 537,197.38
  5. Step 5: Solve for x
    x = 537,197.38/430.88
  6. Step 6: Final answer
    x = 1,246.76

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.