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Finding the Third Proportional to 407,652.75 and 599,491.13

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Solution

The third proportional to 407,652.75 and 599,491.13 is: 881,607.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,652.75 : 599,491.13 = 599,491.13 : x
  2. Step 2: Convert to fraction form
    407,652.75/599,491.13 = 599,491.13/x
  3. Step 3: Cross multiply
    407,652.75x = 599,491.13 × 599,491.13
  4. Step 4: Simplify right side
    407,652.75x = 359,389,608,953.77
  5. Step 5: Solve for x
    x = 359,389,608,953.77/407,652.75
  6. Step 6: Final answer
    x = 881,607.22

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.