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Finding the Third Proportional to 1,284 and 1,473

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Solution

The third proportional to 1,284 and 1,473 is: 1,689.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284 : 1,473 = 1,473 : x
  2. Step 2: Convert to fraction form
    1,284/1,473 = 1,473/x
  3. Step 3: Cross multiply
    1,284x = 1,473 × 1,473
  4. Step 4: Simplify right side
    1,284x = 2,169,729
  5. Step 5: Solve for x
    x = 2,169,729/1,284
  6. Step 6: Final answer
    x = 1,689.82

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.