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Finding the Third Proportional to 353,882 and 749,236

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Solution

The third proportional to 353,882 and 749,236 is: 1,586,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,882 : 749,236 = 749,236 : x
  2. Step 2: Convert to fraction form
    353,882/749,236 = 749,236/x
  3. Step 3: Cross multiply
    353,882x = 749,236 × 749,236
  4. Step 4: Simplify right side
    353,882x = 561,354,583,696
  5. Step 5: Solve for x
    x = 561,354,583,696/353,882
  6. Step 6: Final answer
    x = 1,586,276.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.