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Finding the Third Proportional to 232,545 and 492,761

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Solution

The third proportional to 232,545 and 492,761 is: 1,044,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,545 : 492,761 = 492,761 : x
  2. Step 2: Convert to fraction form
    232,545/492,761 = 492,761/x
  3. Step 3: Cross multiply
    232,545x = 492,761 × 492,761
  4. Step 4: Simplify right side
    232,545x = 242,813,403,121
  5. Step 5: Solve for x
    x = 242,813,403,121/232,545
  6. Step 6: Final answer
    x = 1,044,156.63

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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.