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Finding the Third Proportional to 463.63 and 722.03

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Solution

The third proportional to 463.63 and 722.03 is: 1,124.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.63 : 722.03 = 722.03 : x
  2. Step 2: Convert to fraction form
    463.63/722.03 = 722.03/x
  3. Step 3: Cross multiply
    463.63x = 722.03 × 722.03
  4. Step 4: Simplify right side
    463.63x = 521,329.13
  5. Step 5: Solve for x
    x = 521,329.13/463.63
  6. Step 6: Final answer
    x = 1,124.46

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.