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Finding the Third Proportional to 582,576.75 and 904,108.50

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Solution

The third proportional to 582,576.75 and 904,108.50 is: 1,403,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,576.75 : 904,108.50 = 904,108.50 : x
  2. Step 2: Convert to fraction form
    582,576.75/904,108.50 = 904,108.50/x
  3. Step 3: Cross multiply
    582,576.75x = 904,108.50 × 904,108.50
  4. Step 4: Simplify right side
    582,576.75x = 817,412,179,772.25
  5. Step 5: Solve for x
    x = 817,412,179,772.25/582,576.75
  6. Step 6: Final answer
    x = 1,403,097.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.