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Finding the Third Proportional to 262,935,605 and 410,321,042

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Solution

The third proportional to 262,935,605 and 410,321,042 is: 640,321,638.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,935,605 : 410,321,042 = 410,321,042 : x
  2. Step 2: Convert to fraction form
    262,935,605/410,321,042 = 410,321,042/x
  3. Step 3: Cross multiply
    262,935,605x = 410,321,042 × 410,321,042
  4. Step 4: Simplify right side
    262,935,605x = 168,363,357,507,965,760
  5. Step 5: Solve for x
    x = 168,363,357,507,965,760/262,935,605
  6. Step 6: Final answer
    x = 640,321,638.86

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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.