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Finding the Third Proportional to 264,218 and 575,092

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Solution

The third proportional to 264,218 and 575,092 is: 1,251,734.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,218 : 575,092 = 575,092 : x
  2. Step 2: Convert to fraction form
    264,218/575,092 = 575,092/x
  3. Step 3: Cross multiply
    264,218x = 575,092 × 575,092
  4. Step 4: Simplify right side
    264,218x = 330,730,808,464
  5. Step 5: Solve for x
    x = 330,730,808,464/264,218
  6. Step 6: Final answer
    x = 1,251,734.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.