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Finding the Third Proportional to 243,003 and 529,867.50

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Solution

The third proportional to 243,003 and 529,867.50 is: 1,155,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,003 : 529,867.50 = 529,867.50 : x
  2. Step 2: Convert to fraction form
    243,003/529,867.50 = 529,867.50/x
  3. Step 3: Cross multiply
    243,003x = 529,867.50 × 529,867.50
  4. Step 4: Simplify right side
    243,003x = 280,759,567,556.25
  5. Step 5: Solve for x
    x = 280,759,567,556.25/243,003
  6. Step 6: Final answer
    x = 1,155,374.90

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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.