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Finding the Third Proportional to 350,890 and 529,492

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Solution

The third proportional to 350,890 and 529,492 is: 799,001.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,890 : 529,492 = 529,492 : x
  2. Step 2: Convert to fraction form
    350,890/529,492 = 529,492/x
  3. Step 3: Cross multiply
    350,890x = 529,492 × 529,492
  4. Step 4: Simplify right side
    350,890x = 280,361,778,064
  5. Step 5: Solve for x
    x = 280,361,778,064/350,890
  6. Step 6: Final answer
    x = 799,001.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.