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Finding the Third Proportional to 393,964 and 590,826

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Solution

The third proportional to 393,964 and 590,826 is: 886,059.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,964 : 590,826 = 590,826 : x
  2. Step 2: Convert to fraction form
    393,964/590,826 = 590,826/x
  3. Step 3: Cross multiply
    393,964x = 590,826 × 590,826
  4. Step 4: Simplify right side
    393,964x = 349,075,362,276
  5. Step 5: Solve for x
    x = 349,075,362,276/393,964
  6. Step 6: Final answer
    x = 886,059.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.