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Finding the Third Proportional to 512,997 and 766,624.50

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Solution

The third proportional to 512,997 and 766,624.50 is: 1,145,646.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,997 : 766,624.50 = 766,624.50 : x
  2. Step 2: Convert to fraction form
    512,997/766,624.50 = 766,624.50/x
  3. Step 3: Cross multiply
    512,997x = 766,624.50 × 766,624.50
  4. Step 4: Simplify right side
    512,997x = 587,713,124,000.25
  5. Step 5: Solve for x
    x = 587,713,124,000.25/512,997
  6. Step 6: Final answer
    x = 1,145,646.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.