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Finding the Third Proportional to 279,010,293 and 459,419,629.50

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Solution

The third proportional to 279,010,293 and 459,419,629.50 is: 756,482,471.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,010,293 : 459,419,629.50 = 459,419,629.50 : x
  2. Step 2: Convert to fraction form
    279,010,293/459,419,629.50 = 459,419,629.50/x
  3. Step 3: Cross multiply
    279,010,293x = 459,419,629.50 × 459,419,629.50
  4. Step 4: Simplify right side
    279,010,293x = 211,066,395,969,917,280
  5. Step 5: Solve for x
    x = 211,066,395,969,917,280/279,010,293
  6. Step 6: Final answer
    x = 756,482,471.31

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.