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Finding the Third Proportional to 454.88 and 686.16

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Solution

The third proportional to 454.88 and 686.16 is: 1,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.88 : 686.16 = 686.16 : x
  2. Step 2: Convert to fraction form
    454.88/686.16 = 686.16/x
  3. Step 3: Cross multiply
    454.88x = 686.16 × 686.16
  4. Step 4: Simplify right side
    454.88x = 470,810.40
  5. Step 5: Solve for x
    x = 470,810.40/454.88
  6. Step 6: Final answer
    x = 1,035.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.