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Finding the Third Proportional to 319,069 and 493,988.75

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Solution

The third proportional to 319,069 and 493,988.75 is: 764,802.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,069 : 493,988.75 = 493,988.75 : x
  2. Step 2: Convert to fraction form
    319,069/493,988.75 = 493,988.75/x
  3. Step 3: Cross multiply
    319,069x = 493,988.75 × 493,988.75
  4. Step 4: Simplify right side
    319,069x = 244,024,885,126.56
  5. Step 5: Solve for x
    x = 244,024,885,126.56/319,069
  6. Step 6: Final answer
    x = 764,802.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.