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Finding the Third Proportional to 414,481 and 640,038

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Solution

The third proportional to 414,481 and 640,038 is: 988,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,481 : 640,038 = 640,038 : x
  2. Step 2: Convert to fraction form
    414,481/640,038 = 640,038/x
  3. Step 3: Cross multiply
    414,481x = 640,038 × 640,038
  4. Step 4: Simplify right side
    414,481x = 409,648,641,444
  5. Step 5: Solve for x
    x = 409,648,641,444/414,481
  6. Step 6: Final answer
    x = 988,341.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.