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Finding the Third Proportional to 207,451.13 and 324,015.19

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Solution

The third proportional to 207,451.13 and 324,015.19 is: 506,075.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,451.13 : 324,015.19 = 324,015.19 : x
  2. Step 2: Convert to fraction form
    207,451.13/324,015.19 = 324,015.19/x
  3. Step 3: Cross multiply
    207,451.13x = 324,015.19 × 324,015.19
  4. Step 4: Simplify right side
    207,451.13x = 104,985,841,730.66
  5. Step 5: Solve for x
    x = 104,985,841,730.66/207,451.13
  6. Step 6: Final answer
    x = 506,075.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.