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Finding the Third Proportional to 356,184 and 840,834

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Solution

The third proportional to 356,184 and 840,834 is: 1,984,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,184 : 840,834 = 840,834 : x
  2. Step 2: Convert to fraction form
    356,184/840,834 = 840,834/x
  3. Step 3: Cross multiply
    356,184x = 840,834 × 840,834
  4. Step 4: Simplify right side
    356,184x = 707,001,815,556
  5. Step 5: Solve for x
    x = 707,001,815,556/356,184
  6. Step 6: Final answer
    x = 1,984,934.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.