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Finding the Third Proportional to 174,557.53 and 407,934.56

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Solution

The third proportional to 174,557.53 and 407,934.56 is: 953,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,557.53 : 407,934.56 = 407,934.56 : x
  2. Step 2: Convert to fraction form
    174,557.53/407,934.56 = 407,934.56/x
  3. Step 3: Cross multiply
    174,557.53x = 407,934.56 × 407,934.56
  4. Step 4: Simplify right side
    174,557.53x = 166,410,607,282.07
  5. Step 5: Solve for x
    x = 166,410,607,282.07/174,557.53
  6. Step 6: Final answer
    x = 953,328.14

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.