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Finding the Third Proportional to 349,092 and 760,392

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Solution

The third proportional to 349,092 and 760,392 is: 1,656,285.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,092 : 760,392 = 760,392 : x
  2. Step 2: Convert to fraction form
    349,092/760,392 = 760,392/x
  3. Step 3: Cross multiply
    349,092x = 760,392 × 760,392
  4. Step 4: Simplify right side
    349,092x = 578,195,993,664
  5. Step 5: Solve for x
    x = 578,195,993,664/349,092
  6. Step 6: Final answer
    x = 1,656,285.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.