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Finding the Third Proportional to 457,192 and 703,164

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Solution

The third proportional to 457,192 and 703,164 is: 1,081,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,192 : 703,164 = 703,164 : x
  2. Step 2: Convert to fraction form
    457,192/703,164 = 703,164/x
  3. Step 3: Cross multiply
    457,192x = 703,164 × 703,164
  4. Step 4: Simplify right side
    457,192x = 494,439,610,896
  5. Step 5: Solve for x
    x = 494,439,610,896/457,192
  6. Step 6: Final answer
    x = 1,081,470.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.