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Finding the Third Proportional to 315,616 and 686,528

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Solution

The third proportional to 315,616 and 686,528 is: 1,493,335.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,616 : 686,528 = 686,528 : x
  2. Step 2: Convert to fraction form
    315,616/686,528 = 686,528/x
  3. Step 3: Cross multiply
    315,616x = 686,528 × 686,528
  4. Step 4: Simplify right side
    315,616x = 471,320,694,784
  5. Step 5: Solve for x
    x = 471,320,694,784/315,616
  6. Step 6: Final answer
    x = 1,493,335.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.