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Finding the Third Proportional to 553,197 and 834,882

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Solution

The third proportional to 553,197 and 834,882 is: 1,259,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,197 : 834,882 = 834,882 : x
  2. Step 2: Convert to fraction form
    553,197/834,882 = 834,882/x
  3. Step 3: Cross multiply
    553,197x = 834,882 × 834,882
  4. Step 4: Simplify right side
    553,197x = 697,027,953,924
  5. Step 5: Solve for x
    x = 697,027,953,924/553,197
  6. Step 6: Final answer
    x = 1,259,999.52

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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.