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Finding the Third Proportional to 456,902.50 and 990,077

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Solution

The third proportional to 456,902.50 and 990,077 is: 2,145,430.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,902.50 : 990,077 = 990,077 : x
  2. Step 2: Convert to fraction form
    456,902.50/990,077 = 990,077/x
  3. Step 3: Cross multiply
    456,902.50x = 990,077 × 990,077
  4. Step 4: Simplify right side
    456,902.50x = 980,252,465,929
  5. Step 5: Solve for x
    x = 980,252,465,929/456,902.50
  6. Step 6: Final answer
    x = 2,145,430.30

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.