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Finding the Third Proportional to 241,564 and 524,748

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Solution

The third proportional to 241,564 and 524,748 is: 1,139,906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,564 : 524,748 = 524,748 : x
  2. Step 2: Convert to fraction form
    241,564/524,748 = 524,748/x
  3. Step 3: Cross multiply
    241,564x = 524,748 × 524,748
  4. Step 4: Simplify right side
    241,564x = 275,360,463,504
  5. Step 5: Solve for x
    x = 275,360,463,504/241,564
  6. Step 6: Final answer
    x = 1,139,906.87

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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.