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Finding the Third Proportional to 306,755 and 473,813

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Solution

The third proportional to 306,755 and 473,813 is: 731,850.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,755 : 473,813 = 473,813 : x
  2. Step 2: Convert to fraction form
    306,755/473,813 = 473,813/x
  3. Step 3: Cross multiply
    306,755x = 473,813 × 473,813
  4. Step 4: Simplify right side
    306,755x = 224,498,758,969
  5. Step 5: Solve for x
    x = 224,498,758,969/306,755
  6. Step 6: Final answer
    x = 731,850.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.