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Finding the Third Proportional to 269,784 and 590,962.50

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Solution

The third proportional to 269,784 and 590,962.50 is: 1,294,504.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,784 : 590,962.50 = 590,962.50 : x
  2. Step 2: Convert to fraction form
    269,784/590,962.50 = 590,962.50/x
  3. Step 3: Cross multiply
    269,784x = 590,962.50 × 590,962.50
  4. Step 4: Simplify right side
    269,784x = 349,236,676,406.25
  5. Step 5: Solve for x
    x = 349,236,676,406.25/269,784
  6. Step 6: Final answer
    x = 1,294,504.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.