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Finding the Third Proportional to 241,467 and 527,808

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Solution

The third proportional to 241,467 and 527,808 is: 1,153,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,467 : 527,808 = 527,808 : x
  2. Step 2: Convert to fraction form
    241,467/527,808 = 527,808/x
  3. Step 3: Cross multiply
    241,467x = 527,808 × 527,808
  4. Step 4: Simplify right side
    241,467x = 278,581,284,864
  5. Step 5: Solve for x
    x = 278,581,284,864/241,467
  6. Step 6: Final answer
    x = 1,153,703.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.