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Finding the Third Proportional to 323,244 and 705,236

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Solution

The third proportional to 323,244 and 705,236 is: 1,538,645.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,244 : 705,236 = 705,236 : x
  2. Step 2: Convert to fraction form
    323,244/705,236 = 705,236/x
  3. Step 3: Cross multiply
    323,244x = 705,236 × 705,236
  4. Step 4: Simplify right side
    323,244x = 497,357,815,696
  5. Step 5: Solve for x
    x = 497,357,815,696/323,244
  6. Step 6: Final answer
    x = 1,538,645.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.