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Finding the Third Proportional to 270,807.84 and 419,109.50

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Solution

The third proportional to 270,807.84 and 419,109.50 is: 648,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,807.84 : 419,109.50 = 419,109.50 : x
  2. Step 2: Convert to fraction form
    270,807.84/419,109.50 = 419,109.50/x
  3. Step 3: Cross multiply
    270,807.84x = 419,109.50 × 419,109.50
  4. Step 4: Simplify right side
    270,807.84x = 175,652,776,264.54
  5. Step 5: Solve for x
    x = 175,652,776,264.54/270,807.84
  6. Step 6: Final answer
    x = 648,625.16

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