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Finding the Third Proportional to 319,750 and 690,732

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Solution

The third proportional to 319,750 and 690,732 is: 1,492,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,750 : 690,732 = 690,732 : x
  2. Step 2: Convert to fraction form
    319,750/690,732 = 690,732/x
  3. Step 3: Cross multiply
    319,750x = 690,732 × 690,732
  4. Step 4: Simplify right side
    319,750x = 477,110,695,824
  5. Step 5: Solve for x
    x = 477,110,695,824/319,750
  6. Step 6: Final answer
    x = 1,492,136.66

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.