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Finding the Third Proportional to 288,563,008.50 and 605,469,537

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Solution

The third proportional to 288,563,008.50 and 605,469,537 is: 1,270,410,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,563,008.50 : 605,469,537 = 605,469,537 : x
  2. Step 2: Convert to fraction form
    288,563,008.50/605,469,537 = 605,469,537/x
  3. Step 3: Cross multiply
    288,563,008.50x = 605,469,537 × 605,469,537
  4. Step 4: Simplify right side
    288,563,008.50x = 366,593,360,234,994,368
  5. Step 5: Solve for x
    x = 366,593,360,234,994,368/288,563,008.50
  6. Step 6: Final answer
    x = 1,270,410,099.13

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.