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Finding the Third Proportional to 265,486.50 and 573,234.75

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Solution

The third proportional to 265,486.50 and 573,234.75 is: 1,237,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,486.50 : 573,234.75 = 573,234.75 : x
  2. Step 2: Convert to fraction form
    265,486.50/573,234.75 = 573,234.75/x
  3. Step 3: Cross multiply
    265,486.50x = 573,234.75 × 573,234.75
  4. Step 4: Simplify right side
    265,486.50x = 328,598,078,607.56
  5. Step 5: Solve for x
    x = 328,598,078,607.56/265,486.50
  6. Step 6: Final answer
    x = 1,237,720.48

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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.