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Finding the Third Proportional to 288,457,416 and 680,256,660

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Solution

The third proportional to 288,457,416 and 680,256,660 is: 1,604,219,887.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,457,416 : 680,256,660 = 680,256,660 : x
  2. Step 2: Convert to fraction form
    288,457,416/680,256,660 = 680,256,660/x
  3. Step 3: Cross multiply
    288,457,416x = 680,256,660 × 680,256,660
  4. Step 4: Simplify right side
    288,457,416x = 462,749,123,474,355,584
  5. Step 5: Solve for x
    x = 462,749,123,474,355,584/288,457,416
  6. Step 6: Final answer
    x = 1,604,219,887.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.