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Finding the Third Proportional to 319,304 and 500,892

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Solution

The third proportional to 319,304 and 500,892 is: 785,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,304 : 500,892 = 500,892 : x
  2. Step 2: Convert to fraction form
    319,304/500,892 = 500,892/x
  3. Step 3: Cross multiply
    319,304x = 500,892 × 500,892
  4. Step 4: Simplify right side
    319,304x = 250,892,795,664
  5. Step 5: Solve for x
    x = 250,892,795,664/319,304
  6. Step 6: Final answer
    x = 785,748.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.