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Finding the Third Proportional to 460 and 695.75

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Solution

The third proportional to 460 and 695.75 is: 1,052.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    460 : 695.75 = 695.75 : x
  2. Step 2: Convert to fraction form
    460/695.75 = 695.75/x
  3. Step 3: Cross multiply
    460x = 695.75 × 695.75
  4. Step 4: Simplify right side
    460x = 484,068.06
  5. Step 5: Solve for x
    x = 484,068.06/460
  6. Step 6: Final answer
    x = 1,052.32

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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.