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Finding the Third Proportional to 410,356 and 613,893

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Solution

The third proportional to 410,356 and 613,893 is: 918,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,356 : 613,893 = 613,893 : x
  2. Step 2: Convert to fraction form
    410,356/613,893 = 613,893/x
  3. Step 3: Cross multiply
    410,356x = 613,893 × 613,893
  4. Step 4: Simplify right side
    410,356x = 376,864,615,449
  5. Step 5: Solve for x
    x = 376,864,615,449/410,356
  6. Step 6: Final answer
    x = 918,384.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.