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Finding the Third Proportional to 333,691 and 787,378

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Solution

The third proportional to 333,691 and 787,378 is: 1,857,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,691 : 787,378 = 787,378 : x
  2. Step 2: Convert to fraction form
    333,691/787,378 = 787,378/x
  3. Step 3: Cross multiply
    333,691x = 787,378 × 787,378
  4. Step 4: Simplify right side
    333,691x = 619,964,114,884
  5. Step 5: Solve for x
    x = 619,964,114,884/333,691
  6. Step 6: Final answer
    x = 1,857,898.82

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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.