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Finding the Third Proportional to 514,714.50 and 775,858.50

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Solution

The third proportional to 514,714.50 and 775,858.50 is: 1,169,495.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,714.50 : 775,858.50 = 775,858.50 : x
  2. Step 2: Convert to fraction form
    514,714.50/775,858.50 = 775,858.50/x
  3. Step 3: Cross multiply
    514,714.50x = 775,858.50 × 775,858.50
  4. Step 4: Simplify right side
    514,714.50x = 601,956,412,022.25
  5. Step 5: Solve for x
    x = 601,956,412,022.25/514,714.50
  6. Step 6: Final answer
    x = 1,169,495.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.