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Finding the Third Proportional to 232,404 and 492,712

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Solution

The third proportional to 232,404 and 492,712 is: 1,044,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,404 : 492,712 = 492,712 : x
  2. Step 2: Convert to fraction form
    232,404/492,712 = 492,712/x
  3. Step 3: Cross multiply
    232,404x = 492,712 × 492,712
  4. Step 4: Simplify right side
    232,404x = 242,765,114,944
  5. Step 5: Solve for x
    x = 242,765,114,944/232,404
  6. Step 6: Final answer
    x = 1,044,582.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.