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Finding the Third Proportional to 233,424 and 370,548

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Solution

The third proportional to 233,424 and 370,548 is: 588,224.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,424 : 370,548 = 370,548 : x
  2. Step 2: Convert to fraction form
    233,424/370,548 = 370,548/x
  3. Step 3: Cross multiply
    233,424x = 370,548 × 370,548
  4. Step 4: Simplify right side
    233,424x = 137,305,820,304
  5. Step 5: Solve for x
    x = 137,305,820,304/233,424
  6. Step 6: Final answer
    x = 588,224.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.