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Finding the Third Proportional to 336,368 and 505,970

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Solution

The third proportional to 336,368 and 505,970 is: 761,087.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,368 : 505,970 = 505,970 : x
  2. Step 2: Convert to fraction form
    336,368/505,970 = 505,970/x
  3. Step 3: Cross multiply
    336,368x = 505,970 × 505,970
  4. Step 4: Simplify right side
    336,368x = 256,005,640,900
  5. Step 5: Solve for x
    x = 256,005,640,900/336,368
  6. Step 6: Final answer
    x = 761,087.98

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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.