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Finding the Third Proportional to 521,696 and 829,236

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Solution

The third proportional to 521,696 and 829,236 is: 1,318,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,696 : 829,236 = 829,236 : x
  2. Step 2: Convert to fraction form
    521,696/829,236 = 829,236/x
  3. Step 3: Cross multiply
    521,696x = 829,236 × 829,236
  4. Step 4: Simplify right side
    521,696x = 687,632,343,696
  5. Step 5: Solve for x
    x = 687,632,343,696/521,696
  6. Step 6: Final answer
    x = 1,318,070.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.