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Finding the Third Proportional to 239,527 and 375,747

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Solution

The third proportional to 239,527 and 375,747 is: 589,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,527 : 375,747 = 375,747 : x
  2. Step 2: Convert to fraction form
    239,527/375,747 = 375,747/x
  3. Step 3: Cross multiply
    239,527x = 375,747 × 375,747
  4. Step 4: Simplify right side
    239,527x = 141,185,808,009
  5. Step 5: Solve for x
    x = 141,185,808,009/239,527
  6. Step 6: Final answer
    x = 589,435.88

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Why These Related Problems?

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