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Finding the Third Proportional to 317,160 and 475,638

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Solution

The third proportional to 317,160 and 475,638 is: 713,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,160 : 475,638 = 475,638 : x
  2. Step 2: Convert to fraction form
    317,160/475,638 = 475,638/x
  3. Step 3: Cross multiply
    317,160x = 475,638 × 475,638
  4. Step 4: Simplify right side
    317,160x = 226,231,507,044
  5. Step 5: Solve for x
    x = 226,231,507,044/317,160
  6. Step 6: Final answer
    x = 713,304.03

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