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Finding the Third Proportional to 290,270 and 615,774

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Solution

The third proportional to 290,270 and 615,774 is: 1,306,292.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,270 : 615,774 = 615,774 : x
  2. Step 2: Convert to fraction form
    290,270/615,774 = 615,774/x
  3. Step 3: Cross multiply
    290,270x = 615,774 × 615,774
  4. Step 4: Simplify right side
    290,270x = 379,177,619,076
  5. Step 5: Solve for x
    x = 379,177,619,076/290,270
  6. Step 6: Final answer
    x = 1,306,292.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.