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Finding the Third Proportional to 306,051 and 465,850.50

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Solution

The third proportional to 306,051 and 465,850.50 is: 709,086.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,051 : 465,850.50 = 465,850.50 : x
  2. Step 2: Convert to fraction form
    306,051/465,850.50 = 465,850.50/x
  3. Step 3: Cross multiply
    306,051x = 465,850.50 × 465,850.50
  4. Step 4: Simplify right side
    306,051x = 217,016,688,350.25
  5. Step 5: Solve for x
    x = 217,016,688,350.25/306,051
  6. Step 6: Final answer
    x = 709,086.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.