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Finding the Third Proportional to 296,842.50 and 700,039.50

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Solution

The third proportional to 296,842.50 and 700,039.50 is: 1,650,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,842.50 : 700,039.50 = 700,039.50 : x
  2. Step 2: Convert to fraction form
    296,842.50/700,039.50 = 700,039.50/x
  3. Step 3: Cross multiply
    296,842.50x = 700,039.50 × 700,039.50
  4. Step 4: Simplify right side
    296,842.50x = 490,055,301,560.25
  5. Step 5: Solve for x
    x = 490,055,301,560.25/296,842.50
  6. Step 6: Final answer
    x = 1,650,893.32

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.