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Finding the Third Proportional to 324,987 and 724,656.50

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Solution

The third proportional to 324,987 and 724,656.50 is: 1,615,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,987 : 724,656.50 = 724,656.50 : x
  2. Step 2: Convert to fraction form
    324,987/724,656.50 = 724,656.50/x
  3. Step 3: Cross multiply
    324,987x = 724,656.50 × 724,656.50
  4. Step 4: Simplify right side
    324,987x = 525,127,042,992.25
  5. Step 5: Solve for x
    x = 525,127,042,992.25/324,987
  6. Step 6: Final answer
    x = 1,615,840.15

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.