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Finding the Third Proportional to 300,382,527 and 623,786,757

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Solution

The third proportional to 300,382,527 and 623,786,757 is: 1,295,381,332.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,382,527 : 623,786,757 = 623,786,757 : x
  2. Step 2: Convert to fraction form
    300,382,527/623,786,757 = 623,786,757/x
  3. Step 3: Cross multiply
    300,382,527x = 623,786,757 × 623,786,757
  4. Step 4: Simplify right side
    300,382,527x = 389,109,918,208,577,024
  5. Step 5: Solve for x
    x = 389,109,918,208,577,024/300,382,527
  6. Step 6: Final answer
    x = 1,295,381,332.91

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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.