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Finding the Third Proportional to 614,821.50 and 859,756.50

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Solution

The third proportional to 614,821.50 and 859,756.50 is: 1,202,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,821.50 : 859,756.50 = 859,756.50 : x
  2. Step 2: Convert to fraction form
    614,821.50/859,756.50 = 859,756.50/x
  3. Step 3: Cross multiply
    614,821.50x = 859,756.50 × 859,756.50
  4. Step 4: Simplify right side
    614,821.50x = 739,181,239,292.25
  5. Step 5: Solve for x
    x = 739,181,239,292.25/614,821.50
  6. Step 6: Final answer
    x = 1,202,269.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.