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Finding the Third Proportional to 241,468 and 524,453

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Solution

The third proportional to 241,468 and 524,453 is: 1,139,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,468 : 524,453 = 524,453 : x
  2. Step 2: Convert to fraction form
    241,468/524,453 = 524,453/x
  3. Step 3: Cross multiply
    241,468x = 524,453 × 524,453
  4. Step 4: Simplify right side
    241,468x = 275,050,949,209
  5. Step 5: Solve for x
    x = 275,050,949,209/241,468
  6. Step 6: Final answer
    x = 1,139,078.26

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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.