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Finding the Third Proportional to 375,339 and 582,052.50

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Solution

The third proportional to 375,339 and 582,052.50 is: 902,611.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,339 : 582,052.50 = 582,052.50 : x
  2. Step 2: Convert to fraction form
    375,339/582,052.50 = 582,052.50/x
  3. Step 3: Cross multiply
    375,339x = 582,052.50 × 582,052.50
  4. Step 4: Simplify right side
    375,339x = 338,785,112,756.25
  5. Step 5: Solve for x
    x = 338,785,112,756.25/375,339
  6. Step 6: Final answer
    x = 902,611.01

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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.