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Finding the Third Proportional to 333,644.25 and 787,278

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Solution

The third proportional to 333,644.25 and 787,278 is: 1,857,687.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,644.25 : 787,278 = 787,278 : x
  2. Step 2: Convert to fraction form
    333,644.25/787,278 = 787,278/x
  3. Step 3: Cross multiply
    333,644.25x = 787,278 × 787,278
  4. Step 4: Simplify right side
    333,644.25x = 619,806,649,284
  5. Step 5: Solve for x
    x = 619,806,649,284/333,644.25
  6. Step 6: Final answer
    x = 1,857,687.19

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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.