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Finding the Third Proportional to 685,863 and 925,195.50

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Solution

The third proportional to 685,863 and 925,195.50 is: 1,248,043.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,863 : 925,195.50 = 925,195.50 : x
  2. Step 2: Convert to fraction form
    685,863/925,195.50 = 925,195.50/x
  3. Step 3: Cross multiply
    685,863x = 925,195.50 × 925,195.50
  4. Step 4: Simplify right side
    685,863x = 855,986,713,220.25
  5. Step 5: Solve for x
    x = 855,986,713,220.25/685,863
  6. Step 6: Final answer
    x = 1,248,043.29

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.