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Finding the Third Proportional to 241,555.50 and 524,733

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Solution

The third proportional to 241,555.50 and 524,733 is: 1,139,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,555.50 : 524,733 = 524,733 : x
  2. Step 2: Convert to fraction form
    241,555.50/524,733 = 524,733/x
  3. Step 3: Cross multiply
    241,555.50x = 524,733 × 524,733
  4. Step 4: Simplify right side
    241,555.50x = 275,344,721,289
  5. Step 5: Solve for x
    x = 275,344,721,289/241,555.50
  6. Step 6: Final answer
    x = 1,139,881.81

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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.