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Finding the Third Proportional to 230,562 and 495,570

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Solution

The third proportional to 230,562 and 495,570 is: 1,065,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,562 : 495,570 = 495,570 : x
  2. Step 2: Convert to fraction form
    230,562/495,570 = 495,570/x
  3. Step 3: Cross multiply
    230,562x = 495,570 × 495,570
  4. Step 4: Simplify right side
    230,562x = 245,589,624,900
  5. Step 5: Solve for x
    x = 245,589,624,900/230,562
  6. Step 6: Final answer
    x = 1,065,178.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.