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Finding the Third Proportional to 683,992 and 1,026,352.50

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Solution

The third proportional to 683,992 and 1,026,352.50 is: 1,540,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,992 : 1,026,352.50 = 1,026,352.50 : x
  2. Step 2: Convert to fraction form
    683,992/1,026,352.50 = 1,026,352.50/x
  3. Step 3: Cross multiply
    683,992x = 1,026,352.50 × 1,026,352.50
  4. Step 4: Simplify right side
    683,992x = 1,053,399,454,256.25
  5. Step 5: Solve for x
    x = 1,053,399,454,256.25/683,992
  6. Step 6: Final answer
    x = 1,540,075.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.