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Finding the Third Proportional to 279,284,208 and 587,510,688

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Solution

The third proportional to 279,284,208 and 587,510,688 is: 1,235,905,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,284,208 : 587,510,688 = 587,510,688 : x
  2. Step 2: Convert to fraction form
    279,284,208/587,510,688 = 587,510,688/x
  3. Step 3: Cross multiply
    279,284,208x = 587,510,688 × 587,510,688
  4. Step 4: Simplify right side
    279,284,208x = 345,168,808,514,233,344
  5. Step 5: Solve for x
    x = 345,168,808,514,233,344/279,284,208
  6. Step 6: Final answer
    x = 1,235,905,212.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.