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Finding the Third Proportional to 554,352 and 836,523

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Solution

The third proportional to 554,352 and 836,523 is: 1,262,322.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,352 : 836,523 = 836,523 : x
  2. Step 2: Convert to fraction form
    554,352/836,523 = 836,523/x
  3. Step 3: Cross multiply
    554,352x = 836,523 × 836,523
  4. Step 4: Simplify right side
    554,352x = 699,770,729,529
  5. Step 5: Solve for x
    x = 699,770,729,529/554,352
  6. Step 6: Final answer
    x = 1,262,322.01

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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.