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Finding the Third Proportional to 254,036 and 536,557

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Solution

The third proportional to 254,036 and 536,557 is: 1,133,278.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,036 : 536,557 = 536,557 : x
  2. Step 2: Convert to fraction form
    254,036/536,557 = 536,557/x
  3. Step 3: Cross multiply
    254,036x = 536,557 × 536,557
  4. Step 4: Simplify right side
    254,036x = 287,893,414,249
  5. Step 5: Solve for x
    x = 287,893,414,249/254,036
  6. Step 6: Final answer
    x = 1,133,278.02

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.