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Finding the Third Proportional to 317,090,208 and 696,535,728

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Solution

The third proportional to 317,090,208 and 696,535,728 is: 1,530,044,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,090,208 : 696,535,728 = 696,535,728 : x
  2. Step 2: Convert to fraction form
    317,090,208/696,535,728 = 696,535,728/x
  3. Step 3: Cross multiply
    317,090,208x = 696,535,728 × 696,535,728
  4. Step 4: Simplify right side
    317,090,208x = 485,162,020,380,489,984
  5. Step 5: Solve for x
    x = 485,162,020,380,489,984/317,090,208
  6. Step 6: Final answer
    x = 1,530,044,158.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.