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Finding the Third Proportional to 467,923.50 and 708,486.75

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Solution

The third proportional to 467,923.50 and 708,486.75 is: 1,072,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,923.50 : 708,486.75 = 708,486.75 : x
  2. Step 2: Convert to fraction form
    467,923.50/708,486.75 = 708,486.75/x
  3. Step 3: Cross multiply
    467,923.50x = 708,486.75 × 708,486.75
  4. Step 4: Simplify right side
    467,923.50x = 501,953,474,925.56
  5. Step 5: Solve for x
    x = 501,953,474,925.56/467,923.50
  6. Step 6: Final answer
    x = 1,072,725.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.