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Finding the Third Proportional to 523,861.50 and 775,970.25

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Solution

The third proportional to 523,861.50 and 775,970.25 is: 1,149,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,861.50 : 775,970.25 = 775,970.25 : x
  2. Step 2: Convert to fraction form
    523,861.50/775,970.25 = 775,970.25/x
  3. Step 3: Cross multiply
    523,861.50x = 775,970.25 × 775,970.25
  4. Step 4: Simplify right side
    523,861.50x = 602,129,828,885.06
  5. Step 5: Solve for x
    x = 602,129,828,885.06/523,861.50
  6. Step 6: Final answer
    x = 1,149,406.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.