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Finding the Third Proportional to 377,368 and 565,996

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Solution

The third proportional to 377,368 and 565,996 is: 848,910.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,368 : 565,996 = 565,996 : x
  2. Step 2: Convert to fraction form
    377,368/565,996 = 565,996/x
  3. Step 3: Cross multiply
    377,368x = 565,996 × 565,996
  4. Step 4: Simplify right side
    377,368x = 320,351,472,016
  5. Step 5: Solve for x
    x = 320,351,472,016/377,368
  6. Step 6: Final answer
    x = 848,910.01

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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.