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Finding the Third Proportional to 469,700.25 and 1,046,975.25

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Solution

The third proportional to 469,700.25 and 1,046,975.25 is: 2,333,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,700.25 : 1,046,975.25 = 1,046,975.25 : x
  2. Step 2: Convert to fraction form
    469,700.25/1,046,975.25 = 1,046,975.25/x
  3. Step 3: Cross multiply
    469,700.25x = 1,046,975.25 × 1,046,975.25
  4. Step 4: Simplify right side
    469,700.25x = 1,096,157,174,112.56
  5. Step 5: Solve for x
    x = 1,096,157,174,112.56/469,700.25
  6. Step 6: Final answer
    x = 2,333,737.69

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.