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Finding the Third Proportional to 233,570 and 505,878

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Solution

The third proportional to 233,570 and 505,878 is: 1,095,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,570 : 505,878 = 505,878 : x
  2. Step 2: Convert to fraction form
    233,570/505,878 = 505,878/x
  3. Step 3: Cross multiply
    233,570x = 505,878 × 505,878
  4. Step 4: Simplify right side
    233,570x = 255,912,550,884
  5. Step 5: Solve for x
    x = 255,912,550,884/233,570
  6. Step 6: Final answer
    x = 1,095,656.77

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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.