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Finding the Third Proportional to 316,502 and 422,796

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Solution

The third proportional to 316,502 and 422,796 is: 564,787.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,502 : 422,796 = 422,796 : x
  2. Step 2: Convert to fraction form
    316,502/422,796 = 422,796/x
  3. Step 3: Cross multiply
    316,502x = 422,796 × 422,796
  4. Step 4: Simplify right side
    316,502x = 178,756,457,616
  5. Step 5: Solve for x
    x = 178,756,457,616/316,502
  6. Step 6: Final answer
    x = 564,787.77

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.