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Finding the Third Proportional to 584,107.50 and 1,267,860.75

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Solution

The third proportional to 584,107.50 and 1,267,860.75 is: 2,752,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,107.50 : 1,267,860.75 = 1,267,860.75 : x
  2. Step 2: Convert to fraction form
    584,107.50/1,267,860.75 = 1,267,860.75/x
  3. Step 3: Cross multiply
    584,107.50x = 1,267,860.75 × 1,267,860.75
  4. Step 4: Simplify right side
    584,107.50x = 1,607,470,881,390.56
  5. Step 5: Solve for x
    x = 1,607,470,881,390.56/584,107.50
  6. Step 6: Final answer
    x = 2,752,012.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.