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Finding the Third Proportional to 241,477.88 and 524,437.88

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Solution

The third proportional to 241,477.88 and 524,437.88 is: 1,138,965.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,477.88 : 524,437.88 = 524,437.88 : x
  2. Step 2: Convert to fraction form
    241,477.88/524,437.88 = 524,437.88/x
  3. Step 3: Cross multiply
    241,477.88x = 524,437.88 × 524,437.88
  4. Step 4: Simplify right side
    241,477.88x = 275,035,084,734.52
  5. Step 5: Solve for x
    x = 275,035,084,734.52/241,477.88
  6. Step 6: Final answer
    x = 1,138,965.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.