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Finding the Third Proportional to 313,820 and 473,676

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Solution

The third proportional to 313,820 and 473,676 is: 714,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,820 : 473,676 = 473,676 : x
  2. Step 2: Convert to fraction form
    313,820/473,676 = 473,676/x
  3. Step 3: Cross multiply
    313,820x = 473,676 × 473,676
  4. Step 4: Simplify right side
    313,820x = 224,368,952,976
  5. Step 5: Solve for x
    x = 224,368,952,976/313,820
  6. Step 6: Final answer
    x = 714,960.66

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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.