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Finding the Third Proportional to 344,702 and 496,473

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Solution

The third proportional to 344,702 and 496,473 is: 715,068.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,702 : 496,473 = 496,473 : x
  2. Step 2: Convert to fraction form
    344,702/496,473 = 496,473/x
  3. Step 3: Cross multiply
    344,702x = 496,473 × 496,473
  4. Step 4: Simplify right side
    344,702x = 246,485,439,729
  5. Step 5: Solve for x
    x = 246,485,439,729/344,702
  6. Step 6: Final answer
    x = 715,068.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.