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Finding the Third Proportional to 338,170 and 729,558

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Solution

The third proportional to 338,170 and 729,558 is: 1,573,926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,170 : 729,558 = 729,558 : x
  2. Step 2: Convert to fraction form
    338,170/729,558 = 729,558/x
  3. Step 3: Cross multiply
    338,170x = 729,558 × 729,558
  4. Step 4: Simplify right side
    338,170x = 532,254,875,364
  5. Step 5: Solve for x
    x = 532,254,875,364/338,170
  6. Step 6: Final answer
    x = 1,573,926.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.