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Finding the Third Proportional to 255,608,469 and 559,872,288

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Solution

The third proportional to 255,608,469 and 559,872,288 is: 1,226,316,874.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,608,469 : 559,872,288 = 559,872,288 : x
  2. Step 2: Convert to fraction form
    255,608,469/559,872,288 = 559,872,288/x
  3. Step 3: Cross multiply
    255,608,469x = 559,872,288 × 559,872,288
  4. Step 4: Simplify right side
    255,608,469x = 313,456,978,870,354,944
  5. Step 5: Solve for x
    x = 313,456,978,870,354,944/255,608,469
  6. Step 6: Final answer
    x = 1,226,316,874.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.