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Finding the Third Proportional to 354,456 and 529,368.75

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Solution

The third proportional to 354,456 and 529,368.75 is: 790,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,456 : 529,368.75 = 529,368.75 : x
  2. Step 2: Convert to fraction form
    354,456/529,368.75 = 529,368.75/x
  3. Step 3: Cross multiply
    354,456x = 529,368.75 × 529,368.75
  4. Step 4: Simplify right side
    354,456x = 280,231,273,476.56
  5. Step 5: Solve for x
    x = 280,231,273,476.56/354,456
  6. Step 6: Final answer
    x = 790,595.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.