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Finding the Third Proportional to 210,276.66 and 456,046.50

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Solution

The third proportional to 210,276.66 and 456,046.50 is: 989,070.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,276.66 : 456,046.50 = 456,046.50 : x
  2. Step 2: Convert to fraction form
    210,276.66/456,046.50 = 456,046.50/x
  3. Step 3: Cross multiply
    210,276.66x = 456,046.50 × 456,046.50
  4. Step 4: Simplify right side
    210,276.66x = 207,978,410,162.25
  5. Step 5: Solve for x
    x = 207,978,410,162.25/210,276.66
  6. Step 6: Final answer
    x = 989,070.37

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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.