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Finding the Third Proportional to 190,414.13 and 417,497.63

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Solution

The third proportional to 190,414.13 and 417,497.63 is: 915,395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,414.13 : 417,497.63 = 417,497.63 : x
  2. Step 2: Convert to fraction form
    190,414.13/417,497.63 = 417,497.63/x
  3. Step 3: Cross multiply
    190,414.13x = 417,497.63 × 417,497.63
  4. Step 4: Simplify right side
    190,414.13x = 174,304,266,880.64
  5. Step 5: Solve for x
    x = 174,304,266,880.64/190,414.13
  6. Step 6: Final answer
    x = 915,395.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.