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Finding the Third Proportional to 336,069 and 532,406.25

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Solution

The third proportional to 336,069 and 532,406.25 is: 843,447.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,069 : 532,406.25 = 532,406.25 : x
  2. Step 2: Convert to fraction form
    336,069/532,406.25 = 532,406.25/x
  3. Step 3: Cross multiply
    336,069x = 532,406.25 × 532,406.25
  4. Step 4: Simplify right side
    336,069x = 283,456,415,039.06
  5. Step 5: Solve for x
    x = 283,456,415,039.06/336,069
  6. Step 6: Final answer
    x = 843,447.07

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.