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Finding the Third Proportional to 306,531 and 668,232

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Solution

The third proportional to 306,531 and 668,232 is: 1,456,733.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,531 : 668,232 = 668,232 : x
  2. Step 2: Convert to fraction form
    306,531/668,232 = 668,232/x
  3. Step 3: Cross multiply
    306,531x = 668,232 × 668,232
  4. Step 4: Simplify right side
    306,531x = 446,534,005,824
  5. Step 5: Solve for x
    x = 446,534,005,824/306,531
  6. Step 6: Final answer
    x = 1,456,733.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.