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Finding the Third Proportional to 290,370 and 625,226

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Solution

The third proportional to 290,370 and 625,226 is: 1,346,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,370 : 625,226 = 625,226 : x
  2. Step 2: Convert to fraction form
    290,370/625,226 = 625,226/x
  3. Step 3: Cross multiply
    290,370x = 625,226 × 625,226
  4. Step 4: Simplify right side
    290,370x = 390,907,551,076
  5. Step 5: Solve for x
    x = 390,907,551,076/290,370
  6. Step 6: Final answer
    x = 1,346,239.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.