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Finding the Third Proportional to 338,299.88 and 704,587.50

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Solution

The third proportional to 338,299.88 and 704,587.50 is: 1,467,465.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,299.88 : 704,587.50 = 704,587.50 : x
  2. Step 2: Convert to fraction form
    338,299.88/704,587.50 = 704,587.50/x
  3. Step 3: Cross multiply
    338,299.88x = 704,587.50 × 704,587.50
  4. Step 4: Simplify right side
    338,299.88x = 496,443,545,156.25
  5. Step 5: Solve for x
    x = 496,443,545,156.25/338,299.88
  6. Step 6: Final answer
    x = 1,467,465.94

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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.