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Finding the Third Proportional to 529,170 and 794,946

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Solution

The third proportional to 529,170 and 794,946 is: 1,194,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,170 : 794,946 = 794,946 : x
  2. Step 2: Convert to fraction form
    529,170/794,946 = 794,946/x
  3. Step 3: Cross multiply
    529,170x = 794,946 × 794,946
  4. Step 4: Simplify right side
    529,170x = 631,939,142,916
  5. Step 5: Solve for x
    x = 631,939,142,916/529,170
  6. Step 6: Final answer
    x = 1,194,208.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.