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Finding the Third Proportional to 300,168,526 and 650,440,682

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Solution

The third proportional to 300,168,526 and 650,440,682 is: 1,409,451,838.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,168,526 : 650,440,682 = 650,440,682 : x
  2. Step 2: Convert to fraction form
    300,168,526/650,440,682 = 650,440,682/x
  3. Step 3: Cross multiply
    300,168,526x = 650,440,682 × 650,440,682
  4. Step 4: Simplify right side
    300,168,526x = 423,073,080,800,625,152
  5. Step 5: Solve for x
    x = 423,073,080,800,625,152/300,168,526
  6. Step 6: Final answer
    x = 1,409,451,838.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.