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Finding the Third Proportional to 344,864 and 744,096

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Solution

The third proportional to 344,864 and 744,096 is: 1,605,499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,864 : 744,096 = 744,096 : x
  2. Step 2: Convert to fraction form
    344,864/744,096 = 744,096/x
  3. Step 3: Cross multiply
    344,864x = 744,096 × 744,096
  4. Step 4: Simplify right side
    344,864x = 553,678,857,216
  5. Step 5: Solve for x
    x = 553,678,857,216/344,864
  6. Step 6: Final answer
    x = 1,605,499.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.