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Finding the Third Proportional to 317,642 and 476,570

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Solution

The third proportional to 317,642 and 476,570 is: 715,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,642 : 476,570 = 476,570 : x
  2. Step 2: Convert to fraction form
    317,642/476,570 = 476,570/x
  3. Step 3: Cross multiply
    317,642x = 476,570 × 476,570
  4. Step 4: Simplify right side
    317,642x = 227,118,964,900
  5. Step 5: Solve for x
    x = 227,118,964,900/317,642
  6. Step 6: Final answer
    x = 715,015.54

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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.