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Finding the Third Proportional to 291,018 and 448,539

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Solution

The third proportional to 291,018 and 448,539 is: 691,322.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,018 : 448,539 = 448,539 : x
  2. Step 2: Convert to fraction form
    291,018/448,539 = 448,539/x
  3. Step 3: Cross multiply
    291,018x = 448,539 × 448,539
  4. Step 4: Simplify right side
    291,018x = 201,187,234,521
  5. Step 5: Solve for x
    x = 201,187,234,521/291,018
  6. Step 6: Final answer
    x = 691,322.30

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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.