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Finding the Third Proportional to 214,808 and 470,932

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Solution

The third proportional to 214,808 and 470,932 is: 1,032,442.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,808 : 470,932 = 470,932 : x
  2. Step 2: Convert to fraction form
    214,808/470,932 = 470,932/x
  3. Step 3: Cross multiply
    214,808x = 470,932 × 470,932
  4. Step 4: Simplify right side
    214,808x = 221,776,948,624
  5. Step 5: Solve for x
    x = 221,776,948,624/214,808
  6. Step 6: Final answer
    x = 1,032,442.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.