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Finding the Third Proportional to 265,986 and 399,253.50

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Solution

The third proportional to 265,986 and 399,253.50 is: 599,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,986 : 399,253.50 = 399,253.50 : x
  2. Step 2: Convert to fraction form
    265,986/399,253.50 = 399,253.50/x
  3. Step 3: Cross multiply
    265,986x = 399,253.50 × 399,253.50
  4. Step 4: Simplify right side
    265,986x = 159,403,357,262.25
  5. Step 5: Solve for x
    x = 159,403,357,262.25/265,986
  6. Step 6: Final answer
    x = 599,292.28

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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.