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Finding the Third Proportional to 290,468 and 456,438

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Solution

The third proportional to 290,468 and 456,438 is: 717,241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,468 : 456,438 = 456,438 : x
  2. Step 2: Convert to fraction form
    290,468/456,438 = 456,438/x
  3. Step 3: Cross multiply
    290,468x = 456,438 × 456,438
  4. Step 4: Simplify right side
    290,468x = 208,335,647,844
  5. Step 5: Solve for x
    x = 208,335,647,844/290,468
  6. Step 6: Final answer
    x = 717,241.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.