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Finding the Third Proportional to 265,347 and 582,823.50

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Solution

The third proportional to 265,347 and 582,823.50 is: 1,280,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,347 : 582,823.50 = 582,823.50 : x
  2. Step 2: Convert to fraction form
    265,347/582,823.50 = 582,823.50/x
  3. Step 3: Cross multiply
    265,347x = 582,823.50 × 582,823.50
  4. Step 4: Simplify right side
    265,347x = 339,683,232,152.25
  5. Step 5: Solve for x
    x = 339,683,232,152.25/265,347
  6. Step 6: Final answer
    x = 1,280,147.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.