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Finding the Third Proportional to 262,757,429 and 369,550,744

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Solution

The third proportional to 262,757,429 and 369,550,744 is: 519,748,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,757,429 : 369,550,744 = 369,550,744 : x
  2. Step 2: Convert to fraction form
    262,757,429/369,550,744 = 369,550,744/x
  3. Step 3: Cross multiply
    262,757,429x = 369,550,744 × 369,550,744
  4. Step 4: Simplify right side
    262,757,429x = 136,567,752,390,953,536
  5. Step 5: Solve for x
    x = 136,567,752,390,953,536/262,757,429
  6. Step 6: Final answer
    x = 519,748,396.50

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.