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Finding the Third Proportional to 290,387.14 and 622,811.02

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Solution

The third proportional to 290,387.14 and 622,811.02 is: 1,335,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,387.14 : 622,811.02 = 622,811.02 : x
  2. Step 2: Convert to fraction form
    290,387.14/622,811.02 = 622,811.02/x
  3. Step 3: Cross multiply
    290,387.14x = 622,811.02 × 622,811.02
  4. Step 4: Simplify right side
    290,387.14x = 387,893,563,008.49
  5. Step 5: Solve for x
    x = 387,893,563,008.49/290,387.14
  6. Step 6: Final answer
    x = 1,335,780.81

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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.