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Finding the Third Proportional to 240,352 and 377,028

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Solution

The third proportional to 240,352 and 377,028 is: 591,424.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,352 : 377,028 = 377,028 : x
  2. Step 2: Convert to fraction form
    240,352/377,028 = 377,028/x
  3. Step 3: Cross multiply
    240,352x = 377,028 × 377,028
  4. Step 4: Simplify right side
    240,352x = 142,150,112,784
  5. Step 5: Solve for x
    x = 142,150,112,784/240,352
  6. Step 6: Final answer
    x = 591,424.71

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.