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Finding the Third Proportional to 538,355 and 784,164

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Solution

The third proportional to 538,355 and 784,164 is: 1,142,207.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,355 : 784,164 = 784,164 : x
  2. Step 2: Convert to fraction form
    538,355/784,164 = 784,164/x
  3. Step 3: Cross multiply
    538,355x = 784,164 × 784,164
  4. Step 4: Simplify right side
    538,355x = 614,913,178,896
  5. Step 5: Solve for x
    x = 614,913,178,896/538,355
  6. Step 6: Final answer
    x = 1,142,207.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.