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Finding the Third Proportional to 364,728 and 586,012

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Solution

The third proportional to 364,728 and 586,012 is: 941,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,728 : 586,012 = 586,012 : x
  2. Step 2: Convert to fraction form
    364,728/586,012 = 586,012/x
  3. Step 3: Cross multiply
    364,728x = 586,012 × 586,012
  4. Step 4: Simplify right side
    364,728x = 343,410,064,144
  5. Step 5: Solve for x
    x = 343,410,064,144/364,728
  6. Step 6: Final answer
    x = 941,551.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.