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Finding the Third Proportional to 349,738 and 749,094

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Solution

The third proportional to 349,738 and 749,094 is: 1,604,463.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,738 : 749,094 = 749,094 : x
  2. Step 2: Convert to fraction form
    349,738/749,094 = 749,094/x
  3. Step 3: Cross multiply
    349,738x = 749,094 × 749,094
  4. Step 4: Simplify right side
    349,738x = 561,141,820,836
  5. Step 5: Solve for x
    x = 561,141,820,836/349,738
  6. Step 6: Final answer
    x = 1,604,463.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.