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Finding the Third Proportional to 296,960.63 and 650,043

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Solution

The third proportional to 296,960.63 and 650,043 is: 1,422,935.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,960.63 : 650,043 = 650,043 : x
  2. Step 2: Convert to fraction form
    296,960.63/650,043 = 650,043/x
  3. Step 3: Cross multiply
    296,960.63x = 650,043 × 650,043
  4. Step 4: Simplify right side
    296,960.63x = 422,555,901,849
  5. Step 5: Solve for x
    x = 422,555,901,849/296,960.63
  6. Step 6: Final answer
    x = 1,422,935.79

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Why These Related Problems?

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