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Finding the Third Proportional to 732.50 and 1,302.63

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Solution

The third proportional to 732.50 and 1,302.63 is: 2,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.50 : 1,302.63 = 1,302.63 : x
  2. Step 2: Convert to fraction form
    732.50/1,302.63 = 1,302.63/x
  3. Step 3: Cross multiply
    732.50x = 1,302.63 × 1,302.63
  4. Step 4: Simplify right side
    732.50x = 1,696,831.89
  5. Step 5: Solve for x
    x = 1,696,831.89/732.50
  6. Step 6: Final answer
    x = 2,316.49

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.