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Finding the Third Proportional to 245,848 and 531,062

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Solution

The third proportional to 245,848 and 531,062 is: 1,147,159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,848 : 531,062 = 531,062 : x
  2. Step 2: Convert to fraction form
    245,848/531,062 = 531,062/x
  3. Step 3: Cross multiply
    245,848x = 531,062 × 531,062
  4. Step 4: Simplify right side
    245,848x = 282,026,847,844
  5. Step 5: Solve for x
    x = 282,026,847,844/245,848
  6. Step 6: Final answer
    x = 1,147,159.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.