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Finding the Third Proportional to 336,994 and 506,859

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Solution

The third proportional to 336,994 and 506,859 is: 762,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,994 : 506,859 = 506,859 : x
  2. Step 2: Convert to fraction form
    336,994/506,859 = 506,859/x
  3. Step 3: Cross multiply
    336,994x = 506,859 × 506,859
  4. Step 4: Simplify right side
    336,994x = 256,906,045,881
  5. Step 5: Solve for x
    x = 256,906,045,881/336,994
  6. Step 6: Final answer
    x = 762,346.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.