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Finding the Third Proportional to 290,943 and 448,679

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Solution

The third proportional to 290,943 and 448,679 is: 691,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,943 : 448,679 = 448,679 : x
  2. Step 2: Convert to fraction form
    290,943/448,679 = 448,679/x
  3. Step 3: Cross multiply
    290,943x = 448,679 × 448,679
  4. Step 4: Simplify right side
    290,943x = 201,312,845,041
  5. Step 5: Solve for x
    x = 201,312,845,041/290,943
  6. Step 6: Final answer
    x = 691,932.25

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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.