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Finding the Third Proportional to 364,768 and 582,726

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Solution

The third proportional to 364,768 and 582,726 is: 930,919.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,768 : 582,726 = 582,726 : x
  2. Step 2: Convert to fraction form
    364,768/582,726 = 582,726/x
  3. Step 3: Cross multiply
    364,768x = 582,726 × 582,726
  4. Step 4: Simplify right side
    364,768x = 339,569,591,076
  5. Step 5: Solve for x
    x = 339,569,591,076/364,768
  6. Step 6: Final answer
    x = 930,919.35

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Why These Related Problems?

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