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Finding the Third Proportional to 559,269 and 838,964.25

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Solution

The third proportional to 559,269 and 838,964.25 is: 1,258,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,269 : 838,964.25 = 838,964.25 : x
  2. Step 2: Convert to fraction form
    559,269/838,964.25 = 838,964.25/x
  3. Step 3: Cross multiply
    559,269x = 838,964.25 × 838,964.25
  4. Step 4: Simplify right side
    559,269x = 703,861,012,778.06
  5. Step 5: Solve for x
    x = 703,861,012,778.06/559,269
  6. Step 6: Final answer
    x = 1,258,537.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.