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Finding the Third Proportional to 624,739.50 and 1,346,665.50

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Solution

The third proportional to 624,739.50 and 1,346,665.50 is: 2,902,822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,739.50 : 1,346,665.50 = 1,346,665.50 : x
  2. Step 2: Convert to fraction form
    624,739.50/1,346,665.50 = 1,346,665.50/x
  3. Step 3: Cross multiply
    624,739.50x = 1,346,665.50 × 1,346,665.50
  4. Step 4: Simplify right side
    624,739.50x = 1,813,507,968,890.25
  5. Step 5: Solve for x
    x = 1,813,507,968,890.25/624,739.50
  6. Step 6: Final answer
    x = 2,902,822.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.