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Finding the Third Proportional to 262,935,609 and 410,321,048

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Solution

The third proportional to 262,935,609 and 410,321,048 is: 640,321,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,935,609 : 410,321,048 = 410,321,048 : x
  2. Step 2: Convert to fraction form
    262,935,609/410,321,048 = 410,321,048/x
  3. Step 3: Cross multiply
    262,935,609x = 410,321,048 × 410,321,048
  4. Step 4: Simplify right side
    262,935,609x = 168,363,362,431,818,304
  5. Step 5: Solve for x
    x = 168,363,362,431,818,304/262,935,609
  6. Step 6: Final answer
    x = 640,321,647.84

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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.