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Finding the Third Proportional to 665.88 and 1,025.94

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Solution

The third proportional to 665.88 and 1,025.94 is: 1,580.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.88 : 1,025.94 = 1,025.94 : x
  2. Step 2: Convert to fraction form
    665.88/1,025.94 = 1,025.94/x
  3. Step 3: Cross multiply
    665.88x = 1,025.94 × 1,025.94
  4. Step 4: Simplify right side
    665.88x = 1,052,547.75
  5. Step 5: Solve for x
    x = 1,052,547.75/665.88
  6. Step 6: Final answer
    x = 1,580.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.