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Finding the Third Proportional to 351,135 and 746,010

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Solution

The third proportional to 351,135 and 746,010 is: 1,584,948.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,135 : 746,010 = 746,010 : x
  2. Step 2: Convert to fraction form
    351,135/746,010 = 746,010/x
  3. Step 3: Cross multiply
    351,135x = 746,010 × 746,010
  4. Step 4: Simplify right side
    351,135x = 556,530,920,100
  5. Step 5: Solve for x
    x = 556,530,920,100/351,135
  6. Step 6: Final answer
    x = 1,584,948.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.