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Finding the Third Proportional to 651,305.25 and 930,516.75

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Solution

The third proportional to 651,305.25 and 930,516.75 is: 1,329,424.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,305.25 : 930,516.75 = 930,516.75 : x
  2. Step 2: Convert to fraction form
    651,305.25/930,516.75 = 930,516.75/x
  3. Step 3: Cross multiply
    651,305.25x = 930,516.75 × 930,516.75
  4. Step 4: Simplify right side
    651,305.25x = 865,861,422,030.56
  5. Step 5: Solve for x
    x = 865,861,422,030.56/651,305.25
  6. Step 6: Final answer
    x = 1,329,424.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.