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Finding the Third Proportional to 347,718 and 733,419

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Solution

The third proportional to 347,718 and 733,419 is: 1,546,953.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,718 : 733,419 = 733,419 : x
  2. Step 2: Convert to fraction form
    347,718/733,419 = 733,419/x
  3. Step 3: Cross multiply
    347,718x = 733,419 × 733,419
  4. Step 4: Simplify right side
    347,718x = 537,903,429,561
  5. Step 5: Solve for x
    x = 537,903,429,561/347,718
  6. Step 6: Final answer
    x = 1,546,953.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.