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Finding the Third Proportional to 299,061 and 426,559.50

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Solution

The third proportional to 299,061 and 426,559.50 is: 608,414.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,061 : 426,559.50 = 426,559.50 : x
  2. Step 2: Convert to fraction form
    299,061/426,559.50 = 426,559.50/x
  3. Step 3: Cross multiply
    299,061x = 426,559.50 × 426,559.50
  4. Step 4: Simplify right side
    299,061x = 181,953,007,040.25
  5. Step 5: Solve for x
    x = 181,953,007,040.25/299,061
  6. Step 6: Final answer
    x = 608,414.36

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.