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Finding the Third Proportional to 389,578 and 810,332

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Solution

The third proportional to 389,578 and 810,332 is: 1,685,510.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,578 : 810,332 = 810,332 : x
  2. Step 2: Convert to fraction form
    389,578/810,332 = 810,332/x
  3. Step 3: Cross multiply
    389,578x = 810,332 × 810,332
  4. Step 4: Simplify right side
    389,578x = 656,637,950,224
  5. Step 5: Solve for x
    x = 656,637,950,224/389,578
  6. Step 6: Final answer
    x = 1,685,510.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.