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Finding the Third Proportional to 502,979.63 and 759,192.75

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Solution

The third proportional to 502,979.63 and 759,192.75 is: 1,145,918.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,979.63 : 759,192.75 = 759,192.75 : x
  2. Step 2: Convert to fraction form
    502,979.63/759,192.75 = 759,192.75/x
  3. Step 3: Cross multiply
    502,979.63x = 759,192.75 × 759,192.75
  4. Step 4: Simplify right side
    502,979.63x = 576,373,631,652.56
  5. Step 5: Solve for x
    x = 576,373,631,652.56/502,979.63
  6. Step 6: Final answer
    x = 1,145,918.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.