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Finding the Third Proportional to 349,798 and 741,634

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Solution

The third proportional to 349,798 and 741,634 is: 1,572,396.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,798 : 741,634 = 741,634 : x
  2. Step 2: Convert to fraction form
    349,798/741,634 = 741,634/x
  3. Step 3: Cross multiply
    349,798x = 741,634 × 741,634
  4. Step 4: Simplify right side
    349,798x = 550,020,989,956
  5. Step 5: Solve for x
    x = 550,020,989,956/349,798
  6. Step 6: Final answer
    x = 1,572,396.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.