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Finding the Third Proportional to 277,776.38 and 393,309.56

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Solution

The third proportional to 277,776.38 and 393,309.56 is: 556,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,776.38 : 393,309.56 = 393,309.56 : x
  2. Step 2: Convert to fraction form
    277,776.38/393,309.56 = 393,309.56/x
  3. Step 3: Cross multiply
    277,776.38x = 393,309.56 × 393,309.56
  4. Step 4: Simplify right side
    277,776.38x = 154,692,411,953.94
  5. Step 5: Solve for x
    x = 154,692,411,953.94/277,776.38
  6. Step 6: Final answer
    x = 556,895.50

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.