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Finding the Third Proportional to 393,268 and 601,362

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Solution

The third proportional to 393,268 and 601,362 is: 919,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,268 : 601,362 = 601,362 : x
  2. Step 2: Convert to fraction form
    393,268/601,362 = 601,362/x
  3. Step 3: Cross multiply
    393,268x = 601,362 × 601,362
  4. Step 4: Simplify right side
    393,268x = 361,636,255,044
  5. Step 5: Solve for x
    x = 361,636,255,044/393,268
  6. Step 6: Final answer
    x = 919,566.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.