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Finding the Third Proportional to 349,078 and 760,364

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Solution

The third proportional to 349,078 and 760,364 is: 1,656,229.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,078 : 760,364 = 760,364 : x
  2. Step 2: Convert to fraction form
    349,078/760,364 = 760,364/x
  3. Step 3: Cross multiply
    349,078x = 760,364 × 760,364
  4. Step 4: Simplify right side
    349,078x = 578,153,412,496
  5. Step 5: Solve for x
    x = 578,153,412,496/349,078
  6. Step 6: Final answer
    x = 1,656,229.88

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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.