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Finding the Third Proportional to 340,999 and 496,506

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Solution

The third proportional to 340,999 and 496,506 is: 722,929.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,999 : 496,506 = 496,506 : x
  2. Step 2: Convert to fraction form
    340,999/496,506 = 496,506/x
  3. Step 3: Cross multiply
    340,999x = 496,506 × 496,506
  4. Step 4: Simplify right side
    340,999x = 246,518,208,036
  5. Step 5: Solve for x
    x = 246,518,208,036/340,999
  6. Step 6: Final answer
    x = 722,929.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.