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Finding the Third Proportional to 241,709 and 531,748

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Solution

The third proportional to 241,709 and 531,748 is: 1,169,819.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,709 : 531,748 = 531,748 : x
  2. Step 2: Convert to fraction form
    241,709/531,748 = 531,748/x
  3. Step 3: Cross multiply
    241,709x = 531,748 × 531,748
  4. Step 4: Simplify right side
    241,709x = 282,755,935,504
  5. Step 5: Solve for x
    x = 282,755,935,504/241,709
  6. Step 6: Final answer
    x = 1,169,819.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.