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Finding the Third Proportional to 301,861.50 and 628,527

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Solution

The third proportional to 301,861.50 and 628,527 is: 1,308,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,861.50 : 628,527 = 628,527 : x
  2. Step 2: Convert to fraction form
    301,861.50/628,527 = 628,527/x
  3. Step 3: Cross multiply
    301,861.50x = 628,527 × 628,527
  4. Step 4: Simplify right side
    301,861.50x = 395,046,189,729
  5. Step 5: Solve for x
    x = 395,046,189,729/301,861.50
  6. Step 6: Final answer
    x = 1,308,700.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.