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Finding the Third Proportional to 467,725.50 and 651,660.75

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Solution

The third proportional to 467,725.50 and 651,660.75 is: 907,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,725.50 : 651,660.75 = 651,660.75 : x
  2. Step 2: Convert to fraction form
    467,725.50/651,660.75 = 651,660.75/x
  3. Step 3: Cross multiply
    467,725.50x = 651,660.75 × 651,660.75
  4. Step 4: Simplify right side
    467,725.50x = 424,661,733,090.56
  5. Step 5: Solve for x
    x = 424,661,733,090.56/467,725.50
  6. Step 6: Final answer
    x = 907,929.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.