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Finding the Third Proportional to 333,693 and 787,374.75

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Solution

The third proportional to 333,693 and 787,374.75 is: 1,857,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,693 : 787,374.75 = 787,374.75 : x
  2. Step 2: Convert to fraction form
    333,693/787,374.75 = 787,374.75/x
  3. Step 3: Cross multiply
    333,693x = 787,374.75 × 787,374.75
  4. Step 4: Simplify right side
    333,693x = 619,958,996,937.56
  5. Step 5: Solve for x
    x = 619,958,996,937.56/333,693
  6. Step 6: Final answer
    x = 1,857,872.35

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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.