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Finding the Third Proportional to 232,724 and 361,841

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Solution

The third proportional to 232,724 and 361,841 is: 562,593.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,724 : 361,841 = 361,841 : x
  2. Step 2: Convert to fraction form
    232,724/361,841 = 361,841/x
  3. Step 3: Cross multiply
    232,724x = 361,841 × 361,841
  4. Step 4: Simplify right side
    232,724x = 130,928,909,281
  5. Step 5: Solve for x
    x = 130,928,909,281/232,724
  6. Step 6: Final answer
    x = 562,593.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.