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Finding the Third Proportional to 264,176 and 575,488

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Solution

The third proportional to 264,176 and 575,488 is: 1,253,658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,176 : 575,488 = 575,488 : x
  2. Step 2: Convert to fraction form
    264,176/575,488 = 575,488/x
  3. Step 3: Cross multiply
    264,176x = 575,488 × 575,488
  4. Step 4: Simplify right side
    264,176x = 331,186,438,144
  5. Step 5: Solve for x
    x = 331,186,438,144/264,176
  6. Step 6: Final answer
    x = 1,253,658.31

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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.