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Finding the Third Proportional to 238,276.69 and 524,530.69

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Solution

The third proportional to 238,276.69 and 524,530.69 is: 1,154,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,276.69 : 524,530.69 = 524,530.69 : x
  2. Step 2: Convert to fraction form
    238,276.69/524,530.69 = 524,530.69/x
  3. Step 3: Cross multiply
    238,276.69x = 524,530.69 × 524,530.69
  4. Step 4: Simplify right side
    238,276.69x = 275,132,442,129.22
  5. Step 5: Solve for x
    x = 275,132,442,129.22/238,276.69
  6. Step 6: Final answer
    x = 1,154,676.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.