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Finding the Third Proportional to 232,543 and 492,757

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Solution

The third proportional to 232,543 and 492,757 is: 1,044,148.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,543 : 492,757 = 492,757 : x
  2. Step 2: Convert to fraction form
    232,543/492,757 = 492,757/x
  3. Step 3: Cross multiply
    232,543x = 492,757 × 492,757
  4. Step 4: Simplify right side
    232,543x = 242,809,461,049
  5. Step 5: Solve for x
    x = 242,809,461,049/232,543
  6. Step 6: Final answer
    x = 1,044,148.66

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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.