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Finding the Third Proportional to 268,811,369 and 584,929,189

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Solution

The third proportional to 268,811,369 and 584,929,189 is: 1,272,796,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,811,369 : 584,929,189 = 584,929,189 : x
  2. Step 2: Convert to fraction form
    268,811,369/584,929,189 = 584,929,189/x
  3. Step 3: Cross multiply
    268,811,369x = 584,929,189 × 584,929,189
  4. Step 4: Simplify right side
    268,811,369x = 342,142,156,144,197,696
  5. Step 5: Solve for x
    x = 342,142,156,144,197,696/268,811,369
  6. Step 6: Final answer
    x = 1,272,796,449.86

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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.