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Finding the Third Proportional to 647.44 and 1,025.53

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Solution

The third proportional to 647.44 and 1,025.53 is: 1,624.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.44 : 1,025.53 = 1,025.53 : x
  2. Step 2: Convert to fraction form
    647.44/1,025.53 = 1,025.53/x
  3. Step 3: Cross multiply
    647.44x = 1,025.53 × 1,025.53
  4. Step 4: Simplify right side
    647.44x = 1,051,714.34
  5. Step 5: Solve for x
    x = 1,051,714.34/647.44
  6. Step 6: Final answer
    x = 1,624.43

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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.