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Finding the Third Proportional to 684 and 1,528

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Solution

The third proportional to 684 and 1,528 is: 3,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    684 : 1,528 = 1,528 : x
  2. Step 2: Convert to fraction form
    684/1,528 = 1,528/x
  3. Step 3: Cross multiply
    684x = 1,528 × 1,528
  4. Step 4: Simplify right side
    684x = 2,334,784
  5. Step 5: Solve for x
    x = 2,334,784/684
  6. Step 6: Final answer
    x = 3,413.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.