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Finding the Third Proportional to 338,887.50 and 733,566

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Solution

The third proportional to 338,887.50 and 733,566 is: 1,587,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,887.50 : 733,566 = 733,566 : x
  2. Step 2: Convert to fraction form
    338,887.50/733,566 = 733,566/x
  3. Step 3: Cross multiply
    338,887.50x = 733,566 × 733,566
  4. Step 4: Simplify right side
    338,887.50x = 538,119,076,356
  5. Step 5: Solve for x
    x = 538,119,076,356/338,887.50
  6. Step 6: Final answer
    x = 1,587,898.86

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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.