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Finding the Third Proportional to 361,088 and 504,807

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Solution

The third proportional to 361,088 and 504,807 is: 705,728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,088 : 504,807 = 504,807 : x
  2. Step 2: Convert to fraction form
    361,088/504,807 = 504,807/x
  3. Step 3: Cross multiply
    361,088x = 504,807 × 504,807
  4. Step 4: Simplify right side
    361,088x = 254,830,107,249
  5. Step 5: Solve for x
    x = 254,830,107,249/361,088
  6. Step 6: Final answer
    x = 705,728.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.