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Finding the Third Proportional to 262,935,616 and 410,321,060

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Solution

The third proportional to 262,935,616 and 410,321,060 is: 640,321,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,935,616 : 410,321,060 = 410,321,060 : x
  2. Step 2: Convert to fraction form
    262,935,616/410,321,060 = 410,321,060/x
  3. Step 3: Cross multiply
    262,935,616x = 410,321,060 × 410,321,060
  4. Step 4: Simplify right side
    262,935,616x = 168,363,372,279,523,584
  5. Step 5: Solve for x
    x = 168,363,372,279,523,584/262,935,616
  6. Step 6: Final answer
    x = 640,321,668.25

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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.