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Finding the Third Proportional to 290,906 and 608,292

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Solution

The third proportional to 290,906 and 608,292 is: 1,271,954.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,906 : 608,292 = 608,292 : x
  2. Step 2: Convert to fraction form
    290,906/608,292 = 608,292/x
  3. Step 3: Cross multiply
    290,906x = 608,292 × 608,292
  4. Step 4: Simplify right side
    290,906x = 370,019,157,264
  5. Step 5: Solve for x
    x = 370,019,157,264/290,906
  6. Step 6: Final answer
    x = 1,271,954.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.