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Finding the Third Proportional to 120,788 and 265,472

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Solution

The third proportional to 120,788 and 265,472 is: 583,463.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,788 : 265,472 = 265,472 : x
  2. Step 2: Convert to fraction form
    120,788/265,472 = 265,472/x
  3. Step 3: Cross multiply
    120,788x = 265,472 × 265,472
  4. Step 4: Simplify right side
    120,788x = 70,475,382,784
  5. Step 5: Solve for x
    x = 70,475,382,784/120,788
  6. Step 6: Final answer
    x = 583,463.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.