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Finding the Third Proportional to 505,722.66 and 1,075,807.41

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Solution

The third proportional to 505,722.66 and 1,075,807.41 is: 2,288,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,722.66 : 1,075,807.41 = 1,075,807.41 : x
  2. Step 2: Convert to fraction form
    505,722.66/1,075,807.41 = 1,075,807.41/x
  3. Step 3: Cross multiply
    505,722.66x = 1,075,807.41 × 1,075,807.41
  4. Step 4: Simplify right side
    505,722.66x = 1,157,361,575,342.35
  5. Step 5: Solve for x
    x = 1,157,361,575,342.35/505,722.66
  6. Step 6: Final answer
    x = 2,288,530.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.