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Finding the Third Proportional to 290,306 and 448,404

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Solution

The third proportional to 290,306 and 448,404 is: 692,600.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,306 : 448,404 = 448,404 : x
  2. Step 2: Convert to fraction form
    290,306/448,404 = 448,404/x
  3. Step 3: Cross multiply
    290,306x = 448,404 × 448,404
  4. Step 4: Simplify right side
    290,306x = 201,066,147,216
  5. Step 5: Solve for x
    x = 201,066,147,216/290,306
  6. Step 6: Final answer
    x = 692,600.73

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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.