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Finding the Third Proportional to 349,784 and 748,192

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Solution

The third proportional to 349,784 and 748,192 is: 1,600,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,784 : 748,192 = 748,192 : x
  2. Step 2: Convert to fraction form
    349,784/748,192 = 748,192/x
  3. Step 3: Cross multiply
    349,784x = 748,192 × 748,192
  4. Step 4: Simplify right side
    349,784x = 559,791,268,864
  5. Step 5: Solve for x
    x = 559,791,268,864/349,784
  6. Step 6: Final answer
    x = 1,600,391.30

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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.