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Finding the Third Proportional to 344,484 and 738,795

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Solution

The third proportional to 344,484 and 738,795 is: 1,584,451.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,484 : 738,795 = 738,795 : x
  2. Step 2: Convert to fraction form
    344,484/738,795 = 738,795/x
  3. Step 3: Cross multiply
    344,484x = 738,795 × 738,795
  4. Step 4: Simplify right side
    344,484x = 545,818,052,025
  5. Step 5: Solve for x
    x = 545,818,052,025/344,484
  6. Step 6: Final answer
    x = 1,584,451.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.