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Finding the Third Proportional to 313,589 and 471,090

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Solution

The third proportional to 313,589 and 471,090 is: 707,696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,589 : 471,090 = 471,090 : x
  2. Step 2: Convert to fraction form
    313,589/471,090 = 471,090/x
  3. Step 3: Cross multiply
    313,589x = 471,090 × 471,090
  4. Step 4: Simplify right side
    313,589x = 221,925,788,100
  5. Step 5: Solve for x
    x = 221,925,788,100/313,589
  6. Step 6: Final answer
    x = 707,696.34

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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.