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Finding the Third Proportional to 351,094.50 and 529,746.75

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Solution

The third proportional to 351,094.50 and 529,746.75 is: 799,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,094.50 : 529,746.75 = 529,746.75 : x
  2. Step 2: Convert to fraction form
    351,094.50/529,746.75 = 529,746.75/x
  3. Step 3: Cross multiply
    351,094.50x = 529,746.75 × 529,746.75
  4. Step 4: Simplify right side
    351,094.50x = 280,631,619,135.56
  5. Step 5: Solve for x
    x = 280,631,619,135.56/351,094.50
  6. Step 6: Final answer
    x = 799,305.08

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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.