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Finding the Third Proportional to 274,888 and 583,472

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Solution

The third proportional to 274,888 and 583,472 is: 1,238,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,888 : 583,472 = 583,472 : x
  2. Step 2: Convert to fraction form
    274,888/583,472 = 583,472/x
  3. Step 3: Cross multiply
    274,888x = 583,472 × 583,472
  4. Step 4: Simplify right side
    274,888x = 340,439,574,784
  5. Step 5: Solve for x
    x = 340,439,574,784/274,888
  6. Step 6: Final answer
    x = 1,238,466.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.