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Finding the Third Proportional to 338,890.50 and 733,572

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Solution

The third proportional to 338,890.50 and 733,572 is: 1,587,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,890.50 : 733,572 = 733,572 : x
  2. Step 2: Convert to fraction form
    338,890.50/733,572 = 733,572/x
  3. Step 3: Cross multiply
    338,890.50x = 733,572 × 733,572
  4. Step 4: Simplify right side
    338,890.50x = 538,127,879,184
  5. Step 5: Solve for x
    x = 538,127,879,184/338,890.50
  6. Step 6: Final answer
    x = 1,587,910.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.