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Finding the Third Proportional to 460.59 and 651.19

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Solution

The third proportional to 460.59 and 651.19 is: 920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.59 : 651.19 = 651.19 : x
  2. Step 2: Convert to fraction form
    460.59/651.19 = 651.19/x
  3. Step 3: Cross multiply
    460.59x = 651.19 × 651.19
  4. Step 4: Simplify right side
    460.59x = 424,045.16
  5. Step 5: Solve for x
    x = 424,045.16/460.59
  6. Step 6: Final answer
    x = 920.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.