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Finding the Third Proportional to 651,478.50 and 996,592.50

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Solution

The third proportional to 651,478.50 and 996,592.50 is: 1,524,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,478.50 : 996,592.50 = 996,592.50 : x
  2. Step 2: Convert to fraction form
    651,478.50/996,592.50 = 996,592.50/x
  3. Step 3: Cross multiply
    651,478.50x = 996,592.50 × 996,592.50
  4. Step 4: Simplify right side
    651,478.50x = 993,196,611,056.25
  5. Step 5: Solve for x
    x = 993,196,611,056.25/651,478.50
  6. Step 6: Final answer
    x = 1,524,527.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.