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Finding the Third Proportional to 333,605,298 and 694,822,909

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Solution

The third proportional to 333,605,298 and 694,822,909 is: 1,447,155,898.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,605,298 : 694,822,909 = 694,822,909 : x
  2. Step 2: Convert to fraction form
    333,605,298/694,822,909 = 694,822,909/x
  3. Step 3: Cross multiply
    333,605,298x = 694,822,909 × 694,822,909
  4. Step 4: Simplify right side
    333,605,298x = 482,778,874,871,222,272
  5. Step 5: Solve for x
    x = 482,778,874,871,222,272/333,605,298
  6. Step 6: Final answer
    x = 1,447,155,898.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.