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Finding the Third Proportional to 353,099 and 540,246

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Solution

The third proportional to 353,099 and 540,246 is: 826,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,099 : 540,246 = 540,246 : x
  2. Step 2: Convert to fraction form
    353,099/540,246 = 540,246/x
  3. Step 3: Cross multiply
    353,099x = 540,246 × 540,246
  4. Step 4: Simplify right side
    353,099x = 291,865,740,516
  5. Step 5: Solve for x
    x = 291,865,740,516/353,099
  6. Step 6: Final answer
    x = 826,583.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.