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Finding the Third Proportional to 291,014 and 448,533

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Solution

The third proportional to 291,014 and 448,533 is: 691,313.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,014 : 448,533 = 448,533 : x
  2. Step 2: Convert to fraction form
    291,014/448,533 = 448,533/x
  3. Step 3: Cross multiply
    291,014x = 448,533 × 448,533
  4. Step 4: Simplify right side
    291,014x = 201,181,852,089
  5. Step 5: Solve for x
    x = 201,181,852,089/291,014
  6. Step 6: Final answer
    x = 691,313.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.