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Finding the Third Proportional to 338,595.19 and 705,215.25

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Solution

The third proportional to 338,595.19 and 705,215.25 is: 1,468,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,595.19 : 705,215.25 = 705,215.25 : x
  2. Step 2: Convert to fraction form
    338,595.19/705,215.25 = 705,215.25/x
  3. Step 3: Cross multiply
    338,595.19x = 705,215.25 × 705,215.25
  4. Step 4: Simplify right side
    338,595.19x = 497,328,548,832.56
  5. Step 5: Solve for x
    x = 497,328,548,832.56/338,595.19
  6. Step 6: Final answer
    x = 1,468,799.82

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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.