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Finding the Third Proportional to 732.94 and 1,603.13

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Solution

The third proportional to 732.94 and 1,603.13 is: 3,506.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.94 : 1,603.13 = 1,603.13 : x
  2. Step 2: Convert to fraction form
    732.94/1,603.13 = 1,603.13/x
  3. Step 3: Cross multiply
    732.94x = 1,603.13 × 1,603.13
  4. Step 4: Simplify right side
    732.94x = 2,570,009.77
  5. Step 5: Solve for x
    x = 2,570,009.77/732.94
  6. Step 6: Final answer
    x = 3,506.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.