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Finding the Third Proportional to 264,172 and 575,480

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Solution

The third proportional to 264,172 and 575,480 is: 1,253,642.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,172 : 575,480 = 575,480 : x
  2. Step 2: Convert to fraction form
    264,172/575,480 = 575,480/x
  3. Step 3: Cross multiply
    264,172x = 575,480 × 575,480
  4. Step 4: Simplify right side
    264,172x = 331,177,230,400
  5. Step 5: Solve for x
    x = 331,177,230,400/264,172
  6. Step 6: Final answer
    x = 1,253,642.44

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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.