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Finding the Third Proportional to 289,359 and 447,997.50

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Solution

The third proportional to 289,359 and 447,997.50 is: 693,608.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,359 : 447,997.50 = 447,997.50 : x
  2. Step 2: Convert to fraction form
    289,359/447,997.50 = 447,997.50/x
  3. Step 3: Cross multiply
    289,359x = 447,997.50 × 447,997.50
  4. Step 4: Simplify right side
    289,359x = 200,701,760,006.25
  5. Step 5: Solve for x
    x = 200,701,760,006.25/289,359
  6. Step 6: Final answer
    x = 693,608.15

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