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Finding the Third Proportional to 688,398.75 and 967,707

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Solution

The third proportional to 688,398.75 and 967,707 is: 1,360,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,398.75 : 967,707 = 967,707 : x
  2. Step 2: Convert to fraction form
    688,398.75/967,707 = 967,707/x
  3. Step 3: Cross multiply
    688,398.75x = 967,707 × 967,707
  4. Step 4: Simplify right side
    688,398.75x = 936,456,837,849
  5. Step 5: Solve for x
    x = 936,456,837,849/688,398.75
  6. Step 6: Final answer
    x = 1,360,340.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.