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Finding the Third Proportional to 477,273.50 and 1,029,230

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Solution

The third proportional to 477,273.50 and 1,029,230 is: 2,219,512.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,273.50 : 1,029,230 = 1,029,230 : x
  2. Step 2: Convert to fraction form
    477,273.50/1,029,230 = 1,029,230/x
  3. Step 3: Cross multiply
    477,273.50x = 1,029,230 × 1,029,230
  4. Step 4: Simplify right side
    477,273.50x = 1,059,314,392,900
  5. Step 5: Solve for x
    x = 1,059,314,392,900/477,273.50
  6. Step 6: Final answer
    x = 2,219,512.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.