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Finding the Third Proportional to 338,532 and 735,385.50

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Solution

The third proportional to 338,532 and 735,385.50 is: 1,597,461.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,532 : 735,385.50 = 735,385.50 : x
  2. Step 2: Convert to fraction form
    338,532/735,385.50 = 735,385.50/x
  3. Step 3: Cross multiply
    338,532x = 735,385.50 × 735,385.50
  4. Step 4: Simplify right side
    338,532x = 540,791,833,610.25
  5. Step 5: Solve for x
    x = 540,791,833,610.25/338,532
  6. Step 6: Final answer
    x = 1,597,461.49

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.