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Finding the Third Proportional to 400,723,015.50 and 613,002,307.50

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Solution

The third proportional to 400,723,015.50 and 613,002,307.50 is: 937,734,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,723,015.50 : 613,002,307.50 = 613,002,307.50 : x
  2. Step 2: Convert to fraction form
    400,723,015.50/613,002,307.50 = 613,002,307.50/x
  3. Step 3: Cross multiply
    400,723,015.50x = 613,002,307.50 × 613,002,307.50
  4. Step 4: Simplify right side
    400,723,015.50x = 375,771,829,000,324,544
  5. Step 5: Solve for x
    x = 375,771,829,000,324,544/400,723,015.50
  6. Step 6: Final answer
    x = 937,734,580.91

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.