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Finding the Third Proportional to 313,584 and 471,082

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Solution

The third proportional to 313,584 and 471,082 is: 707,683.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,584 : 471,082 = 471,082 : x
  2. Step 2: Convert to fraction form
    313,584/471,082 = 471,082/x
  3. Step 3: Cross multiply
    313,584x = 471,082 × 471,082
  4. Step 4: Simplify right side
    313,584x = 221,918,250,724
  5. Step 5: Solve for x
    x = 221,918,250,724/313,584
  6. Step 6: Final answer
    x = 707,683.59

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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.