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Finding the Third Proportional to 501.75 and 732.94

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Solution

The third proportional to 501.75 and 732.94 is: 1,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.75 : 732.94 = 732.94 : x
  2. Step 2: Convert to fraction form
    501.75/732.94 = 732.94/x
  3. Step 3: Cross multiply
    501.75x = 732.94 × 732.94
  4. Step 4: Simplify right side
    501.75x = 537,197.38
  5. Step 5: Solve for x
    x = 537,197.38/501.75
  6. Step 6: Final answer
    x = 1,070.65

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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.