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Finding the Third Proportional to 338,919 and 738,118.50

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Solution

The third proportional to 338,919 and 738,118.50 is: 1,607,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,919 : 738,118.50 = 738,118.50 : x
  2. Step 2: Convert to fraction form
    338,919/738,118.50 = 738,118.50/x
  3. Step 3: Cross multiply
    338,919x = 738,118.50 × 738,118.50
  4. Step 4: Simplify right side
    338,919x = 544,818,920,042.25
  5. Step 5: Solve for x
    x = 544,818,920,042.25/338,919
  6. Step 6: Final answer
    x = 1,607,519.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.