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Finding the Third Proportional to 338,882.63 and 733,555.50

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Solution

The third proportional to 338,882.63 and 733,555.50 is: 1,587,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,882.63 : 733,555.50 = 733,555.50 : x
  2. Step 2: Convert to fraction form
    338,882.63/733,555.50 = 733,555.50/x
  3. Step 3: Cross multiply
    338,882.63x = 733,555.50 × 733,555.50
  4. Step 4: Simplify right side
    338,882.63x = 538,103,671,580.25
  5. Step 5: Solve for x
    x = 538,103,671,580.25/338,882.63
  6. Step 6: Final answer
    x = 1,587,876.25

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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.