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Finding the Third Proportional to 738,904 and 944,145

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Solution

The third proportional to 738,904 and 944,145 is: 1,206,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,904 : 944,145 = 944,145 : x
  2. Step 2: Convert to fraction form
    738,904/944,145 = 944,145/x
  3. Step 3: Cross multiply
    738,904x = 944,145 × 944,145
  4. Step 4: Simplify right side
    738,904x = 891,409,781,025
  5. Step 5: Solve for x
    x = 891,409,781,025/738,904
  6. Step 6: Final answer
    x = 1,206,394.58

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.