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Finding the Third Proportional to 499,714.50 and 767,622.75

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Solution

The third proportional to 499,714.50 and 767,622.75 is: 1,179,162.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,714.50 : 767,622.75 = 767,622.75 : x
  2. Step 2: Convert to fraction form
    499,714.50/767,622.75 = 767,622.75/x
  3. Step 3: Cross multiply
    499,714.50x = 767,622.75 × 767,622.75
  4. Step 4: Simplify right side
    499,714.50x = 589,244,686,317.56
  5. Step 5: Solve for x
    x = 589,244,686,317.56/499,714.50
  6. Step 6: Final answer
    x = 1,179,162.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.