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Finding the Third Proportional to 273,237,729.75 and 399,608,946

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Solution

The third proportional to 273,237,729.75 and 399,608,946 is: 584,426,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,237,729.75 : 399,608,946 = 399,608,946 : x
  2. Step 2: Convert to fraction form
    273,237,729.75/399,608,946 = 399,608,946/x
  3. Step 3: Cross multiply
    273,237,729.75x = 399,608,946 × 399,608,946
  4. Step 4: Simplify right side
    273,237,729.75x = 159,687,309,723,230,912
  5. Step 5: Solve for x
    x = 159,687,309,723,230,912/273,237,729.75
  6. Step 6: Final answer
    x = 584,426,279.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.