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Finding the Third Proportional to 333,868 and 787,346

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Solution

The third proportional to 333,868 and 787,346 is: 1,856,762.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,868 : 787,346 = 787,346 : x
  2. Step 2: Convert to fraction form
    333,868/787,346 = 787,346/x
  3. Step 3: Cross multiply
    333,868x = 787,346 × 787,346
  4. Step 4: Simplify right side
    333,868x = 619,913,723,716
  5. Step 5: Solve for x
    x = 619,913,723,716/333,868
  6. Step 6: Final answer
    x = 1,856,762.92

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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.