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Finding the Third Proportional to 313,747 and 471,335

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Solution

The third proportional to 313,747 and 471,335 is: 708,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,747 : 471,335 = 471,335 : x
  2. Step 2: Convert to fraction form
    313,747/471,335 = 471,335/x
  3. Step 3: Cross multiply
    313,747x = 471,335 × 471,335
  4. Step 4: Simplify right side
    313,747x = 222,156,682,225
  5. Step 5: Solve for x
    x = 222,156,682,225/313,747
  6. Step 6: Final answer
    x = 708,075.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.