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Finding the Third Proportional to 362,034 and 733,770

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Solution

The third proportional to 362,034 and 733,770 is: 1,487,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,034 : 733,770 = 733,770 : x
  2. Step 2: Convert to fraction form
    362,034/733,770 = 733,770/x
  3. Step 3: Cross multiply
    362,034x = 733,770 × 733,770
  4. Step 4: Simplify right side
    362,034x = 538,418,412,900
  5. Step 5: Solve for x
    x = 538,418,412,900/362,034
  6. Step 6: Final answer
    x = 1,487,204.00

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.