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Finding the Third Proportional to 405,024 and 875,016

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Solution

The third proportional to 405,024 and 875,016 is: 1,890,389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,024 : 875,016 = 875,016 : x
  2. Step 2: Convert to fraction form
    405,024/875,016 = 875,016/x
  3. Step 3: Cross multiply
    405,024x = 875,016 × 875,016
  4. Step 4: Simplify right side
    405,024x = 765,653,000,256
  5. Step 5: Solve for x
    x = 765,653,000,256/405,024
  6. Step 6: Final answer
    x = 1,890,389.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.