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Finding the Third Proportional to 439,598 and 685,078

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Solution

The third proportional to 439,598 and 685,078 is: 1,067,638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,598 : 685,078 = 685,078 : x
  2. Step 2: Convert to fraction form
    439,598/685,078 = 685,078/x
  3. Step 3: Cross multiply
    439,598x = 685,078 × 685,078
  4. Step 4: Simplify right side
    439,598x = 469,331,866,084
  5. Step 5: Solve for x
    x = 469,331,866,084/439,598
  6. Step 6: Final answer
    x = 1,067,638.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.