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Finding the Third Proportional to 523,273.50 and 710,157.75

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Solution

The third proportional to 523,273.50 and 710,157.75 is: 963,786.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,273.50 : 710,157.75 = 710,157.75 : x
  2. Step 2: Convert to fraction form
    523,273.50/710,157.75 = 710,157.75/x
  3. Step 3: Cross multiply
    523,273.50x = 710,157.75 × 710,157.75
  4. Step 4: Simplify right side
    523,273.50x = 504,324,029,885.06
  5. Step 5: Solve for x
    x = 504,324,029,885.06/523,273.50
  6. Step 6: Final answer
    x = 963,786.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.