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Finding the Third Proportional to 349,261 and 744,314

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Solution

The third proportional to 349,261 and 744,314 is: 1,586,215.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,261 : 744,314 = 744,314 : x
  2. Step 2: Convert to fraction form
    349,261/744,314 = 744,314/x
  3. Step 3: Cross multiply
    349,261x = 744,314 × 744,314
  4. Step 4: Simplify right side
    349,261x = 554,003,330,596
  5. Step 5: Solve for x
    x = 554,003,330,596/349,261
  6. Step 6: Final answer
    x = 1,586,215.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.