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Finding the Third Proportional to 688,393 and 1,476,355.50

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Solution

The third proportional to 688,393 and 1,476,355.50 is: 3,166,251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,393 : 1,476,355.50 = 1,476,355.50 : x
  2. Step 2: Convert to fraction form
    688,393/1,476,355.50 = 1,476,355.50/x
  3. Step 3: Cross multiply
    688,393x = 1,476,355.50 × 1,476,355.50
  4. Step 4: Simplify right side
    688,393x = 2,179,625,562,380.25
  5. Step 5: Solve for x
    x = 2,179,625,562,380.25/688,393
  6. Step 6: Final answer
    x = 3,166,251.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.