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Finding the Third Proportional to 232,542 and 492,755

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Solution

The third proportional to 232,542 and 492,755 is: 1,044,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,542 : 492,755 = 492,755 : x
  2. Step 2: Convert to fraction form
    232,542/492,755 = 492,755/x
  3. Step 3: Cross multiply
    232,542x = 492,755 × 492,755
  4. Step 4: Simplify right side
    232,542x = 242,807,490,025
  5. Step 5: Solve for x
    x = 242,807,490,025/232,542
  6. Step 6: Final answer
    x = 1,044,144.67

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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.