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Finding the Third Proportional to 313,668 and 473,424

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Solution

The third proportional to 313,668 and 473,424 is: 714,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,668 : 473,424 = 473,424 : x
  2. Step 2: Convert to fraction form
    313,668/473,424 = 473,424/x
  3. Step 3: Cross multiply
    313,668x = 473,424 × 473,424
  4. Step 4: Simplify right side
    313,668x = 224,130,283,776
  5. Step 5: Solve for x
    x = 224,130,283,776/313,668
  6. Step 6: Final answer
    x = 714,546.22

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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.