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Finding the Third Proportional to 688,324 and 1,036,651

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Solution

The third proportional to 688,324 and 1,036,651 is: 1,561,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,324 : 1,036,651 = 1,036,651 : x
  2. Step 2: Convert to fraction form
    688,324/1,036,651 = 1,036,651/x
  3. Step 3: Cross multiply
    688,324x = 1,036,651 × 1,036,651
  4. Step 4: Simplify right side
    688,324x = 1,074,645,295,801
  5. Step 5: Solve for x
    x = 1,074,645,295,801/688,324
  6. Step 6: Final answer
    x = 1,561,249.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.