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Finding the Third Proportional to 333,661.78 and 787,312.41

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Solution

The third proportional to 333,661.78 and 787,312.41 is: 1,857,751.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,661.78 : 787,312.41 = 787,312.41 : x
  2. Step 2: Convert to fraction form
    333,661.78/787,312.41 = 787,312.41/x
  3. Step 3: Cross multiply
    333,661.78x = 787,312.41 × 787,312.41
  4. Step 4: Simplify right side
    333,661.78x = 619,860,825,035.17
  5. Step 5: Solve for x
    x = 619,860,825,035.17/333,661.78
  6. Step 6: Final answer
    x = 1,857,751.95

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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.