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Finding the Third Proportional to 516,099 and 758,968.50

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Solution

The third proportional to 516,099 and 758,968.50 is: 1,116,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,099 : 758,968.50 = 758,968.50 : x
  2. Step 2: Convert to fraction form
    516,099/758,968.50 = 758,968.50/x
  3. Step 3: Cross multiply
    516,099x = 758,968.50 × 758,968.50
  4. Step 4: Simplify right side
    516,099x = 576,033,183,992.25
  5. Step 5: Solve for x
    x = 576,033,183,992.25/516,099
  6. Step 6: Final answer
    x = 1,116,129.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.