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Finding the Third Proportional to 656.63 and 1,014.56

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Solution

The third proportional to 656.63 and 1,014.56 is: 1,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.63 : 1,014.56 = 1,014.56 : x
  2. Step 2: Convert to fraction form
    656.63/1,014.56 = 1,014.56/x
  3. Step 3: Cross multiply
    656.63x = 1,014.56 × 1,014.56
  4. Step 4: Simplify right side
    656.63x = 1,029,337.07
  5. Step 5: Solve for x
    x = 1,029,337.07/656.63
  6. Step 6: Final answer
    x = 1,567.62

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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.