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Finding the Third Proportional to 532,084.50 and 798,666.75

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Solution

The third proportional to 532,084.50 and 798,666.75 is: 1,198,810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,084.50 : 798,666.75 = 798,666.75 : x
  2. Step 2: Convert to fraction form
    532,084.50/798,666.75 = 798,666.75/x
  3. Step 3: Cross multiply
    532,084.50x = 798,666.75 × 798,666.75
  4. Step 4: Simplify right side
    532,084.50x = 637,868,577,555.56
  5. Step 5: Solve for x
    x = 637,868,577,555.56/532,084.50
  6. Step 6: Final answer
    x = 1,198,810.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.