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Finding the Third Proportional to 290,318 and 592,298

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Solution

The third proportional to 290,318 and 592,298 is: 1,208,388.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,318 : 592,298 = 592,298 : x
  2. Step 2: Convert to fraction form
    290,318/592,298 = 592,298/x
  3. Step 3: Cross multiply
    290,318x = 592,298 × 592,298
  4. Step 4: Simplify right side
    290,318x = 350,816,920,804
  5. Step 5: Solve for x
    x = 350,816,920,804/290,318
  6. Step 6: Final answer
    x = 1,208,388.46

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.