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Finding the Third Proportional to 404,310 and 857,908

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Solution

The third proportional to 404,310 and 857,908 is: 1,820,400.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,310 : 857,908 = 857,908 : x
  2. Step 2: Convert to fraction form
    404,310/857,908 = 857,908/x
  3. Step 3: Cross multiply
    404,310x = 857,908 × 857,908
  4. Step 4: Simplify right side
    404,310x = 736,006,136,464
  5. Step 5: Solve for x
    x = 736,006,136,464/404,310
  6. Step 6: Final answer
    x = 1,820,400.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.