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Finding the Third Proportional to 240,743.39 and 508,345.88

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Solution

The third proportional to 240,743.39 and 508,345.88 is: 1,073,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,743.39 : 508,345.88 = 508,345.88 : x
  2. Step 2: Convert to fraction form
    240,743.39/508,345.88 = 508,345.88/x
  3. Step 3: Cross multiply
    240,743.39x = 508,345.88 × 508,345.88
  4. Step 4: Simplify right side
    240,743.39x = 258,415,528,629.52
  5. Step 5: Solve for x
    x = 258,415,528,629.52/240,743.39
  6. Step 6: Final answer
    x = 1,073,406.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.