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Finding the Third Proportional to 312,543 and 466,755

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Solution

The third proportional to 312,543 and 466,755 is: 697,056.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,543 : 466,755 = 466,755 : x
  2. Step 2: Convert to fraction form
    312,543/466,755 = 466,755/x
  3. Step 3: Cross multiply
    312,543x = 466,755 × 466,755
  4. Step 4: Simplify right side
    312,543x = 217,860,230,025
  5. Step 5: Solve for x
    x = 217,860,230,025/312,543
  6. Step 6: Final answer
    x = 697,056.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.