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Finding the Third Proportional to 554,339 and 836,501

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Solution

The third proportional to 554,339 and 836,501 is: 1,262,285.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,339 : 836,501 = 836,501 : x
  2. Step 2: Convert to fraction form
    554,339/836,501 = 836,501/x
  3. Step 3: Cross multiply
    554,339x = 836,501 × 836,501
  4. Step 4: Simplify right side
    554,339x = 699,733,923,001
  5. Step 5: Solve for x
    x = 699,733,923,001/554,339
  6. Step 6: Final answer
    x = 1,262,285.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.