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Finding the Third Proportional to 669.19 and 1,411.50

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Solution

The third proportional to 669.19 and 1,411.50 is: 2,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.19 : 1,411.50 = 1,411.50 : x
  2. Step 2: Convert to fraction form
    669.19/1,411.50 = 1,411.50/x
  3. Step 3: Cross multiply
    669.19x = 1,411.50 × 1,411.50
  4. Step 4: Simplify right side
    669.19x = 1,992,332.25
  5. Step 5: Solve for x
    x = 1,992,332.25/669.19
  6. Step 6: Final answer
    x = 2,977.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.