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Finding the Third Proportional to 274,239 and 423,796.50

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Solution

The third proportional to 274,239 and 423,796.50 is: 654,915.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,239 : 423,796.50 = 423,796.50 : x
  2. Step 2: Convert to fraction form
    274,239/423,796.50 = 423,796.50/x
  3. Step 3: Cross multiply
    274,239x = 423,796.50 × 423,796.50
  4. Step 4: Simplify right side
    274,239x = 179,603,473,412.25
  5. Step 5: Solve for x
    x = 179,603,473,412.25/274,239
  6. Step 6: Final answer
    x = 654,915.87

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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.