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Finding the Third Proportional to 653.54 and 1,012.34

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Solution

The third proportional to 653.54 and 1,012.34 is: 1,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.54 : 1,012.34 = 1,012.34 : x
  2. Step 2: Convert to fraction form
    653.54/1,012.34 = 1,012.34/x
  3. Step 3: Cross multiply
    653.54x = 1,012.34 × 1,012.34
  4. Step 4: Simplify right side
    653.54x = 1,024,835.91
  5. Step 5: Solve for x
    x = 1,024,835.91/653.54
  6. Step 6: Final answer
    x = 1,568.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.