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Finding the Third Proportional to 541,764 and 840,034

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Solution

The third proportional to 541,764 and 840,034 is: 1,302,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,764 : 840,034 = 840,034 : x
  2. Step 2: Convert to fraction form
    541,764/840,034 = 840,034/x
  3. Step 3: Cross multiply
    541,764x = 840,034 × 840,034
  4. Step 4: Simplify right side
    541,764x = 705,657,121,156
  5. Step 5: Solve for x
    x = 705,657,121,156/541,764
  6. Step 6: Final answer
    x = 1,302,517.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.