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Finding the Third Proportional to 241,712 and 531,754

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Solution

The third proportional to 241,712 and 531,754 is: 1,169,831.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,712 : 531,754 = 531,754 : x
  2. Step 2: Convert to fraction form
    241,712/531,754 = 531,754/x
  3. Step 3: Cross multiply
    241,712x = 531,754 × 531,754
  4. Step 4: Simplify right side
    241,712x = 282,762,316,516
  5. Step 5: Solve for x
    x = 282,762,316,516/241,712
  6. Step 6: Final answer
    x = 1,169,831.52

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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.