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Finding the Third Proportional to 254,190 and 529,432.50

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Solution

The third proportional to 254,190 and 529,432.50 is: 1,102,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,190 : 529,432.50 = 529,432.50 : x
  2. Step 2: Convert to fraction form
    254,190/529,432.50 = 529,432.50/x
  3. Step 3: Cross multiply
    254,190x = 529,432.50 × 529,432.50
  4. Step 4: Simplify right side
    254,190x = 280,298,772,056.25
  5. Step 5: Solve for x
    x = 280,298,772,056.25/254,190
  6. Step 6: Final answer
    x = 1,102,713.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.