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Finding the Third Proportional to 313,756 and 473,590

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Solution

The third proportional to 313,756 and 473,590 is: 714,846.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,756 : 473,590 = 473,590 : x
  2. Step 2: Convert to fraction form
    313,756/473,590 = 473,590/x
  3. Step 3: Cross multiply
    313,756x = 473,590 × 473,590
  4. Step 4: Simplify right side
    313,756x = 224,287,488,100
  5. Step 5: Solve for x
    x = 224,287,488,100/313,756
  6. Step 6: Final answer
    x = 714,846.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.