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Finding the Third Proportional to 361,064 and 504,768

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Solution

The third proportional to 361,064 and 504,768 is: 705,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,064 : 504,768 = 504,768 : x
  2. Step 2: Convert to fraction form
    361,064/504,768 = 504,768/x
  3. Step 3: Cross multiply
    361,064x = 504,768 × 504,768
  4. Step 4: Simplify right side
    361,064x = 254,790,733,824
  5. Step 5: Solve for x
    x = 254,790,733,824/361,064
  6. Step 6: Final answer
    x = 705,666.40

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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.