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Finding the Third Proportional to 262,291.50 and 561,795.75

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Solution

The third proportional to 262,291.50 and 561,795.75 is: 1,203,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,291.50 : 561,795.75 = 561,795.75 : x
  2. Step 2: Convert to fraction form
    262,291.50/561,795.75 = 561,795.75/x
  3. Step 3: Cross multiply
    262,291.50x = 561,795.75 × 561,795.75
  4. Step 4: Simplify right side
    262,291.50x = 315,614,464,718.06
  5. Step 5: Solve for x
    x = 315,614,464,718.06/262,291.50
  6. Step 6: Final answer
    x = 1,203,296.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.