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Finding the Third Proportional to 216,604 and 521,820

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Solution

The third proportional to 216,604 and 521,820 is: 1,257,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,604 : 521,820 = 521,820 : x
  2. Step 2: Convert to fraction form
    216,604/521,820 = 521,820/x
  3. Step 3: Cross multiply
    216,604x = 521,820 × 521,820
  4. Step 4: Simplify right side
    216,604x = 272,296,112,400
  5. Step 5: Solve for x
    x = 272,296,112,400/216,604
  6. Step 6: Final answer
    x = 1,257,114.88

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.