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Finding the Third Proportional to 304,261 and 649,246

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Solution

The third proportional to 304,261 and 649,246 is: 1,385,390.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,261 : 649,246 = 649,246 : x
  2. Step 2: Convert to fraction form
    304,261/649,246 = 649,246/x
  3. Step 3: Cross multiply
    304,261x = 649,246 × 649,246
  4. Step 4: Simplify right side
    304,261x = 421,520,368,516
  5. Step 5: Solve for x
    x = 421,520,368,516/304,261
  6. Step 6: Final answer
    x = 1,385,390.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.