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Finding the Third Proportional to 302,396,976 and 659,760,727.50

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Solution

The third proportional to 302,396,976 and 659,760,727.50 is: 1,439,446,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,396,976 : 659,760,727.50 = 659,760,727.50 : x
  2. Step 2: Convert to fraction form
    302,396,976/659,760,727.50 = 659,760,727.50/x
  3. Step 3: Cross multiply
    302,396,976x = 659,760,727.50 × 659,760,727.50
  4. Step 4: Simplify right side
    302,396,976x = 435,284,217,551,329,280
  5. Step 5: Solve for x
    x = 435,284,217,551,329,280/302,396,976
  6. Step 6: Final answer
    x = 1,439,446,330.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.