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Finding the Third Proportional to 324,011,846.25 and 514,715,583.38

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Solution

The third proportional to 324,011,846.25 and 514,715,583.38 is: 817,661,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,011,846.25 : 514,715,583.38 = 514,715,583.38 : x
  2. Step 2: Convert to fraction form
    324,011,846.25/514,715,583.38 = 514,715,583.38/x
  3. Step 3: Cross multiply
    324,011,846.25x = 514,715,583.38 × 514,715,583.38
  4. Step 4: Simplify right side
    324,011,846.25x = 264,932,131,769,066,592
  5. Step 5: Solve for x
    x = 264,932,131,769,066,592/324,011,846.25
  6. Step 6: Final answer
    x = 817,661,868.96

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.