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Finding the Third Proportional to 265,557 and 406,077

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Solution

The third proportional to 265,557 and 406,077 is: 620,953.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,557 : 406,077 = 406,077 : x
  2. Step 2: Convert to fraction form
    265,557/406,077 = 406,077/x
  3. Step 3: Cross multiply
    265,557x = 406,077 × 406,077
  4. Step 4: Simplify right side
    265,557x = 164,898,529,929
  5. Step 5: Solve for x
    x = 164,898,529,929/265,557
  6. Step 6: Final answer
    x = 620,953.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.