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Finding the Third Proportional to 582,633 and 787,185

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Solution

The third proportional to 582,633 and 787,185 is: 1,063,551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,633 : 787,185 = 787,185 : x
  2. Step 2: Convert to fraction form
    582,633/787,185 = 787,185/x
  3. Step 3: Cross multiply
    582,633x = 787,185 × 787,185
  4. Step 4: Simplify right side
    582,633x = 619,660,224,225
  5. Step 5: Solve for x
    x = 619,660,224,225/582,633
  6. Step 6: Final answer
    x = 1,063,551.54

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.