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Finding the Third Proportional to 582,051 and 869,490.75

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Solution

The third proportional to 582,051 and 869,490.75 is: 1,298,879.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,051 : 869,490.75 = 869,490.75 : x
  2. Step 2: Convert to fraction form
    582,051/869,490.75 = 869,490.75/x
  3. Step 3: Cross multiply
    582,051x = 869,490.75 × 869,490.75
  4. Step 4: Simplify right side
    582,051x = 756,014,164,335.56
  5. Step 5: Solve for x
    x = 756,014,164,335.56/582,051
  6. Step 6: Final answer
    x = 1,298,879.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.