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Finding the Third Proportional to 292,110 and 598,036

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Solution

The third proportional to 292,110 and 598,036 is: 1,224,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,110 : 598,036 = 598,036 : x
  2. Step 2: Convert to fraction form
    292,110/598,036 = 598,036/x
  3. Step 3: Cross multiply
    292,110x = 598,036 × 598,036
  4. Step 4: Simplify right side
    292,110x = 357,647,057,296
  5. Step 5: Solve for x
    x = 357,647,057,296/292,110
  6. Step 6: Final answer
    x = 1,224,357.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.