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Finding the Third Proportional to 609,588 and 949,278

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Solution

The third proportional to 609,588 and 949,278 is: 1,478,258.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,588 : 949,278 = 949,278 : x
  2. Step 2: Convert to fraction form
    609,588/949,278 = 949,278/x
  3. Step 3: Cross multiply
    609,588x = 949,278 × 949,278
  4. Step 4: Simplify right side
    609,588x = 901,128,721,284
  5. Step 5: Solve for x
    x = 901,128,721,284/609,588
  6. Step 6: Final answer
    x = 1,478,258.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.