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Finding the Third Proportional to 296,986.50 and 650,971.69

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Solution

The third proportional to 296,986.50 and 650,971.69 is: 1,426,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,986.50 : 650,971.69 = 650,971.69 : x
  2. Step 2: Convert to fraction form
    296,986.50/650,971.69 = 650,971.69/x
  3. Step 3: Cross multiply
    296,986.50x = 650,971.69 × 650,971.69
  4. Step 4: Simplify right side
    296,986.50x = 423,764,137,926.60
  5. Step 5: Solve for x
    x = 423,764,137,926.60/296,986.50
  6. Step 6: Final answer
    x = 1,426,880.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.