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Finding the Third Proportional to 553,182 and 854,340

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Solution

The third proportional to 553,182 and 854,340 is: 1,319,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,182 : 854,340 = 854,340 : x
  2. Step 2: Convert to fraction form
    553,182/854,340 = 854,340/x
  3. Step 3: Cross multiply
    553,182x = 854,340 × 854,340
  4. Step 4: Simplify right side
    553,182x = 729,896,835,600
  5. Step 5: Solve for x
    x = 729,896,835,600/553,182
  6. Step 6: Final answer
    x = 1,319,451.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.