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Finding the Third Proportional to 333,294 and 733,296

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Solution

The third proportional to 333,294 and 733,296 is: 1,613,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,294 : 733,296 = 733,296 : x
  2. Step 2: Convert to fraction form
    333,294/733,296 = 733,296/x
  3. Step 3: Cross multiply
    333,294x = 733,296 × 733,296
  4. Step 4: Simplify right side
    333,294x = 537,723,023,616
  5. Step 5: Solve for x
    x = 537,723,023,616/333,294
  6. Step 6: Final answer
    x = 1,613,359.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.