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Finding the Third Proportional to 273,237,729 and 399,608,947.50

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Solution

The third proportional to 273,237,729 and 399,608,947.50 is: 584,426,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,237,729 : 399,608,947.50 = 399,608,947.50 : x
  2. Step 2: Convert to fraction form
    273,237,729/399,608,947.50 = 399,608,947.50/x
  3. Step 3: Cross multiply
    273,237,729x = 399,608,947.50 × 399,608,947.50
  4. Step 4: Simplify right side
    273,237,729x = 159,687,310,922,057,760
  5. Step 5: Solve for x
    x = 159,687,310,922,057,760/273,237,729
  6. Step 6: Final answer
    x = 584,426,285.15

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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.