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Finding the Third Proportional to 338,335 and 704,569

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Solution

The third proportional to 338,335 and 704,569 is: 1,467,236.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,335 : 704,569 = 704,569 : x
  2. Step 2: Convert to fraction form
    338,335/704,569 = 704,569/x
  3. Step 3: Cross multiply
    338,335x = 704,569 × 704,569
  4. Step 4: Simplify right side
    338,335x = 496,417,475,761
  5. Step 5: Solve for x
    x = 496,417,475,761/338,335
  6. Step 6: Final answer
    x = 1,467,236.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.