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Finding the Third Proportional to 647.68 and 1,025.63

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Solution

The third proportional to 647.68 and 1,025.63 is: 1,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.68 : 1,025.63 = 1,025.63 : x
  2. Step 2: Convert to fraction form
    647.68/1,025.63 = 1,025.63/x
  3. Step 3: Cross multiply
    647.68x = 1,025.63 × 1,025.63
  4. Step 4: Simplify right side
    647.68x = 1,051,918.66
  5. Step 5: Solve for x
    x = 1,051,918.66/647.68
  6. Step 6: Final answer
    x = 1,624.12

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.