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Finding the Third Proportional to 211,779 and 465,030

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Solution

The third proportional to 211,779 and 465,030 is: 1,021,125.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,779 : 465,030 = 465,030 : x
  2. Step 2: Convert to fraction form
    211,779/465,030 = 465,030/x
  3. Step 3: Cross multiply
    211,779x = 465,030 × 465,030
  4. Step 4: Simplify right side
    211,779x = 216,252,900,900
  5. Step 5: Solve for x
    x = 216,252,900,900/211,779
  6. Step 6: Final answer
    x = 1,021,125.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.