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Finding the Third Proportional to 381,952 and 833,888

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Solution

The third proportional to 381,952 and 833,888 is: 1,820,566.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,952 : 833,888 = 833,888 : x
  2. Step 2: Convert to fraction form
    381,952/833,888 = 833,888/x
  3. Step 3: Cross multiply
    381,952x = 833,888 × 833,888
  4. Step 4: Simplify right side
    381,952x = 695,369,196,544
  5. Step 5: Solve for x
    x = 695,369,196,544/381,952
  6. Step 6: Final answer
    x = 1,820,566.97

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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.