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Finding the Third Proportional to 653.45 and 1,012.16

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Solution

The third proportional to 653.45 and 1,012.16 is: 1,567.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.45 : 1,012.16 = 1,012.16 : x
  2. Step 2: Convert to fraction form
    653.45/1,012.16 = 1,012.16/x
  3. Step 3: Cross multiply
    653.45x = 1,012.16 × 1,012.16
  4. Step 4: Simplify right side
    653.45x = 1,024,475.60
  5. Step 5: Solve for x
    x = 1,024,475.60/653.45
  6. Step 6: Final answer
    x = 1,567.80

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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.