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Finding the Third Proportional to 296,322.75 and 640,516.50

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Solution

The third proportional to 296,322.75 and 640,516.50 is: 1,384,508.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,322.75 : 640,516.50 = 640,516.50 : x
  2. Step 2: Convert to fraction form
    296,322.75/640,516.50 = 640,516.50/x
  3. Step 3: Cross multiply
    296,322.75x = 640,516.50 × 640,516.50
  4. Step 4: Simplify right side
    296,322.75x = 410,261,386,772.25
  5. Step 5: Solve for x
    x = 410,261,386,772.25/296,322.75
  6. Step 6: Final answer
    x = 1,384,508.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.