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Finding the Third Proportional to 262,935,576 and 410,320,998

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Solution

The third proportional to 262,935,576 and 410,320,998 is: 640,321,572.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,935,576 : 410,320,998 = 410,320,998 : x
  2. Step 2: Convert to fraction form
    262,935,576/410,320,998 = 410,320,998/x
  3. Step 3: Cross multiply
    262,935,576x = 410,320,998 × 410,320,998
  4. Step 4: Simplify right side
    262,935,576x = 168,363,321,399,716,000
  5. Step 5: Solve for x
    x = 168,363,321,399,716,000/262,935,576
  6. Step 6: Final answer
    x = 640,321,572.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.