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Finding the Third Proportional to 473,539.50 and 722,129.50

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Solution

The third proportional to 473,539.50 and 722,129.50 is: 1,101,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,539.50 : 722,129.50 = 722,129.50 : x
  2. Step 2: Convert to fraction form
    473,539.50/722,129.50 = 722,129.50/x
  3. Step 3: Cross multiply
    473,539.50x = 722,129.50 × 722,129.50
  4. Step 4: Simplify right side
    473,539.50x = 521,471,014,770.25
  5. Step 5: Solve for x
    x = 521,471,014,770.25/473,539.50
  6. Step 6: Final answer
    x = 1,101,219.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.