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Finding the Third Proportional to 241,708 and 531,746

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Solution

The third proportional to 241,708 and 531,746 is: 1,169,815.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,708 : 531,746 = 531,746 : x
  2. Step 2: Convert to fraction form
    241,708/531,746 = 531,746/x
  3. Step 3: Cross multiply
    241,708x = 531,746 × 531,746
  4. Step 4: Simplify right side
    241,708x = 282,753,808,516
  5. Step 5: Solve for x
    x = 282,753,808,516/241,708
  6. Step 6: Final answer
    x = 1,169,815.68

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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.