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Finding the Third Proportional to 232,408 and 492,720

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Solution

The third proportional to 232,408 and 492,720 is: 1,044,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,408 : 492,720 = 492,720 : x
  2. Step 2: Convert to fraction form
    232,408/492,720 = 492,720/x
  3. Step 3: Cross multiply
    232,408x = 492,720 × 492,720
  4. Step 4: Simplify right side
    232,408x = 242,772,998,400
  5. Step 5: Solve for x
    x = 242,772,998,400/232,408
  6. Step 6: Final answer
    x = 1,044,598.29

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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.