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Finding the Third Proportional to 262,935,606 and 410,321,046

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Solution

The third proportional to 262,935,606 and 410,321,046 is: 640,321,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,935,606 : 410,321,046 = 410,321,046 : x
  2. Step 2: Convert to fraction form
    262,935,606/410,321,046 = 410,321,046/x
  3. Step 3: Cross multiply
    262,935,606x = 410,321,046 × 410,321,046
  4. Step 4: Simplify right side
    262,935,606x = 168,363,360,790,534,112
  5. Step 5: Solve for x
    x = 168,363,360,790,534,112/262,935,606
  6. Step 6: Final answer
    x = 640,321,648.91

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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.