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Finding the Third Proportional to 241,473 and 524,433

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Solution

The third proportional to 241,473 and 524,433 is: 1,138,967.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,473 : 524,433 = 524,433 : x
  2. Step 2: Convert to fraction form
    241,473/524,433 = 524,433/x
  3. Step 3: Cross multiply
    241,473x = 524,433 × 524,433
  4. Step 4: Simplify right side
    241,473x = 275,029,971,489
  5. Step 5: Solve for x
    x = 275,029,971,489/241,473
  6. Step 6: Final answer
    x = 1,138,967.80

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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.