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Finding the Third Proportional to 353,092 and 540,236

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Solution

The third proportional to 353,092 and 540,236 is: 826,569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,092 : 540,236 = 540,236 : x
  2. Step 2: Convert to fraction form
    353,092/540,236 = 540,236/x
  3. Step 3: Cross multiply
    353,092x = 540,236 × 540,236
  4. Step 4: Simplify right side
    353,092x = 291,854,935,696
  5. Step 5: Solve for x
    x = 291,854,935,696/353,092
  6. Step 6: Final answer
    x = 826,569.10

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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.