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Finding the Third Proportional to 343,496 and 505,294

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Solution

The third proportional to 343,496 and 505,294 is: 743,304.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,496 : 505,294 = 505,294 : x
  2. Step 2: Convert to fraction form
    343,496/505,294 = 505,294/x
  3. Step 3: Cross multiply
    343,496x = 505,294 × 505,294
  4. Step 4: Simplify right side
    343,496x = 255,322,026,436
  5. Step 5: Solve for x
    x = 255,322,026,436/343,496
  6. Step 6: Final answer
    x = 743,304.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.