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Finding the Third Proportional to 364,803 and 582,775.13

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Solution

The third proportional to 364,803 and 582,775.13 is: 930,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,803 : 582,775.13 = 582,775.13 : x
  2. Step 2: Convert to fraction form
    364,803/582,775.13 = 582,775.13/x
  3. Step 3: Cross multiply
    364,803x = 582,775.13 × 582,775.13
  4. Step 4: Simplify right side
    364,803x = 339,626,846,318.77
  5. Step 5: Solve for x
    x = 339,626,846,318.77/364,803
  6. Step 6: Final answer
    x = 930,986.99

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.