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Finding the Third Proportional to 243,420.75 and 529,698.75

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Solution

The third proportional to 243,420.75 and 529,698.75 is: 1,152,657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,420.75 : 529,698.75 = 529,698.75 : x
  2. Step 2: Convert to fraction form
    243,420.75/529,698.75 = 529,698.75/x
  3. Step 3: Cross multiply
    243,420.75x = 529,698.75 × 529,698.75
  4. Step 4: Simplify right side
    243,420.75x = 280,580,765,751.56
  5. Step 5: Solve for x
    x = 280,580,765,751.56/243,420.75
  6. Step 6: Final answer
    x = 1,152,657.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.