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Finding the Third Proportional to 333,686 and 787,363

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Solution

The third proportional to 333,686 and 787,363 is: 1,857,855.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,686 : 787,363 = 787,363 : x
  2. Step 2: Convert to fraction form
    333,686/787,363 = 787,363/x
  3. Step 3: Cross multiply
    333,686x = 787,363 × 787,363
  4. Step 4: Simplify right side
    333,686x = 619,940,493,769
  5. Step 5: Solve for x
    x = 619,940,493,769/333,686
  6. Step 6: Final answer
    x = 1,857,855.87

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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.