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Finding the Third Proportional to 211,783 and 465,038

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Solution

The third proportional to 211,783 and 465,038 is: 1,021,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,783 : 465,038 = 465,038 : x
  2. Step 2: Convert to fraction form
    211,783/465,038 = 465,038/x
  3. Step 3: Cross multiply
    211,783x = 465,038 × 465,038
  4. Step 4: Simplify right side
    211,783x = 216,260,341,444
  5. Step 5: Solve for x
    x = 216,260,341,444/211,783
  6. Step 6: Final answer
    x = 1,021,141.17

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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.