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Finding the Third Proportional to 535,225.50 and 782,745

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Solution

The third proportional to 535,225.50 and 782,745 is: 1,144,731.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,225.50 : 782,745 = 782,745 : x
  2. Step 2: Convert to fraction form
    535,225.50/782,745 = 782,745/x
  3. Step 3: Cross multiply
    535,225.50x = 782,745 × 782,745
  4. Step 4: Simplify right side
    535,225.50x = 612,689,735,025
  5. Step 5: Solve for x
    x = 612,689,735,025/535,225.50
  6. Step 6: Final answer
    x = 1,144,731.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.