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Finding the Third Proportional to 235,577 and 511,303

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Solution

The third proportional to 235,577 and 511,303 is: 1,109,746.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,577 : 511,303 = 511,303 : x
  2. Step 2: Convert to fraction form
    235,577/511,303 = 511,303/x
  3. Step 3: Cross multiply
    235,577x = 511,303 × 511,303
  4. Step 4: Simplify right side
    235,577x = 261,430,757,809
  5. Step 5: Solve for x
    x = 261,430,757,809/235,577
  6. Step 6: Final answer
    x = 1,109,746.53

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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.