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Finding the Third Proportional to 300,382,526 and 623,786,755

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Solution

The third proportional to 300,382,526 and 623,786,755 is: 1,295,381,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,382,526 : 623,786,755 = 623,786,755 : x
  2. Step 2: Convert to fraction form
    300,382,526/623,786,755 = 623,786,755/x
  3. Step 3: Cross multiply
    300,382,526x = 623,786,755 × 623,786,755
  4. Step 4: Simplify right side
    300,382,526x = 389,109,915,713,430,016
  5. Step 5: Solve for x
    x = 389,109,915,713,430,016/300,382,526
  6. Step 6: Final answer
    x = 1,295,381,328.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.