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Finding the Third Proportional to 298,648,936.50 and 415,247,474.38

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Solution

The third proportional to 298,648,936.50 and 415,247,474.38 is: 577,368,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,648,936.50 : 415,247,474.38 = 415,247,474.38 : x
  2. Step 2: Convert to fraction form
    298,648,936.50/415,247,474.38 = 415,247,474.38/x
  3. Step 3: Cross multiply
    298,648,936.50x = 415,247,474.38 × 415,247,474.38
  4. Step 4: Simplify right side
    298,648,936.50x = 172,430,464,974,816,288
  5. Step 5: Solve for x
    x = 172,430,464,974,816,288/298,648,936.50
  6. Step 6: Final answer
    x = 577,368,421.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.