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Finding the Third Proportional to 296,856 and 700,066.50

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Solution

The third proportional to 296,856 and 700,066.50 is: 1,650,945.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,856 : 700,066.50 = 700,066.50 : x
  2. Step 2: Convert to fraction form
    296,856/700,066.50 = 700,066.50/x
  3. Step 3: Cross multiply
    296,856x = 700,066.50 × 700,066.50
  4. Step 4: Simplify right side
    296,856x = 490,093,104,422.25
  5. Step 5: Solve for x
    x = 490,093,104,422.25/296,856
  6. Step 6: Final answer
    x = 1,650,945.59

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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.