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Finding the Third Proportional to 232,620 and 348,921

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Solution

The third proportional to 232,620 and 348,921 is: 523,368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,620 : 348,921 = 348,921 : x
  2. Step 2: Convert to fraction form
    232,620/348,921 = 348,921/x
  3. Step 3: Cross multiply
    232,620x = 348,921 × 348,921
  4. Step 4: Simplify right side
    232,620x = 121,745,864,241
  5. Step 5: Solve for x
    x = 121,745,864,241/232,620
  6. Step 6: Final answer
    x = 523,368.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.