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Finding the Third Proportional to 312,501 and 442,477

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Solution

The third proportional to 312,501 and 442,477 is: 626,512.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,501 : 442,477 = 442,477 : x
  2. Step 2: Convert to fraction form
    312,501/442,477 = 442,477/x
  3. Step 3: Cross multiply
    312,501x = 442,477 × 442,477
  4. Step 4: Simplify right side
    312,501x = 195,785,895,529
  5. Step 5: Solve for x
    x = 195,785,895,529/312,501
  6. Step 6: Final answer
    x = 626,512.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.