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Finding the Third Proportional to 241,605 and 545,848.50

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Solution

The third proportional to 241,605 and 545,848.50 is: 1,233,213.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,605 : 545,848.50 = 545,848.50 : x
  2. Step 2: Convert to fraction form
    241,605/545,848.50 = 545,848.50/x
  3. Step 3: Cross multiply
    241,605x = 545,848.50 × 545,848.50
  4. Step 4: Simplify right side
    241,605x = 297,950,584,952.25
  5. Step 5: Solve for x
    x = 297,950,584,952.25/241,605
  6. Step 6: Final answer
    x = 1,233,213.65

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.