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Finding the Third Proportional to 505,730 and 1,075,824

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Solution

The third proportional to 505,730 and 1,075,824 is: 2,288,567.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,730 : 1,075,824 = 1,075,824 : x
  2. Step 2: Convert to fraction form
    505,730/1,075,824 = 1,075,824/x
  3. Step 3: Cross multiply
    505,730x = 1,075,824 × 1,075,824
  4. Step 4: Simplify right side
    505,730x = 1,157,397,278,976
  5. Step 5: Solve for x
    x = 1,157,397,278,976/505,730
  6. Step 6: Final answer
    x = 2,288,567.57

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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.