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Finding the Third Proportional to 313,632 and 473,328

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Solution

The third proportional to 313,632 and 473,328 is: 714,338.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,632 : 473,328 = 473,328 : x
  2. Step 2: Convert to fraction form
    313,632/473,328 = 473,328/x
  3. Step 3: Cross multiply
    313,632x = 473,328 × 473,328
  4. Step 4: Simplify right side
    313,632x = 224,039,395,584
  5. Step 5: Solve for x
    x = 224,039,395,584/313,632
  6. Step 6: Final answer
    x = 714,338.45

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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.