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Finding the Third Proportional to 207,457.13 and 315,489.75

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Solution

The third proportional to 207,457.13 and 315,489.75 is: 479,780.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,457.13 : 315,489.75 = 315,489.75 : x
  2. Step 2: Convert to fraction form
    207,457.13/315,489.75 = 315,489.75/x
  3. Step 3: Cross multiply
    207,457.13x = 315,489.75 × 315,489.75
  4. Step 4: Simplify right side
    207,457.13x = 99,533,782,355.06
  5. Step 5: Solve for x
    x = 99,533,782,355.06/207,457.13
  6. Step 6: Final answer
    x = 479,780.01

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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.