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Finding the Third Proportional to 241,475 and 524,464

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Solution

The third proportional to 241,475 and 524,464 is: 1,139,093.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,475 : 524,464 = 524,464 : x
  2. Step 2: Convert to fraction form
    241,475/524,464 = 524,464/x
  3. Step 3: Cross multiply
    241,475x = 524,464 × 524,464
  4. Step 4: Simplify right side
    241,475x = 275,062,487,296
  5. Step 5: Solve for x
    x = 275,062,487,296/241,475
  6. Step 6: Final answer
    x = 1,139,093.02

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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.