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Finding the Third Proportional to 264,784 and 370,392

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Solution

The third proportional to 264,784 and 370,392 is: 518,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,784 : 370,392 = 370,392 : x
  2. Step 2: Convert to fraction form
    264,784/370,392 = 370,392/x
  3. Step 3: Cross multiply
    264,784x = 370,392 × 370,392
  4. Step 4: Simplify right side
    264,784x = 137,190,233,664
  5. Step 5: Solve for x
    x = 137,190,233,664/264,784
  6. Step 6: Final answer
    x = 518,121.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.