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Finding the Third Proportional to 270,303 and 414,613

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Solution

The third proportional to 270,303 and 414,613 is: 635,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,303 : 414,613 = 414,613 : x
  2. Step 2: Convert to fraction form
    270,303/414,613 = 414,613/x
  3. Step 3: Cross multiply
    270,303x = 414,613 × 414,613
  4. Step 4: Simplify right side
    270,303x = 171,903,939,769
  5. Step 5: Solve for x
    x = 171,903,939,769/270,303
  6. Step 6: Final answer
    x = 635,967.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.