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Finding the Third Proportional to 241,076 and 524,436

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Solution

The third proportional to 241,076 and 524,436 is: 1,140,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,076 : 524,436 = 524,436 : x
  2. Step 2: Convert to fraction form
    241,076/524,436 = 524,436/x
  3. Step 3: Cross multiply
    241,076x = 524,436 × 524,436
  4. Step 4: Simplify right side
    241,076x = 275,033,118,096
  5. Step 5: Solve for x
    x = 275,033,118,096/241,076
  6. Step 6: Final answer
    x = 1,140,856.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.