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Finding the Third Proportional to 596,305 and 949,775

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Solution

The third proportional to 596,305 and 949,775 is: 1,512,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,305 : 949,775 = 949,775 : x
  2. Step 2: Convert to fraction form
    596,305/949,775 = 949,775/x
  3. Step 3: Cross multiply
    596,305x = 949,775 × 949,775
  4. Step 4: Simplify right side
    596,305x = 902,072,550,625
  5. Step 5: Solve for x
    x = 902,072,550,625/596,305
  6. Step 6: Final answer
    x = 1,512,770.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.