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Finding the Third Proportional to 264,174 and 575,490

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Solution

The third proportional to 264,174 and 575,490 is: 1,253,676.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,174 : 575,490 = 575,490 : x
  2. Step 2: Convert to fraction form
    264,174/575,490 = 575,490/x
  3. Step 3: Cross multiply
    264,174x = 575,490 × 575,490
  4. Step 4: Simplify right side
    264,174x = 331,188,740,100
  5. Step 5: Solve for x
    x = 331,188,740,100/264,174
  6. Step 6: Final answer
    x = 1,253,676.52

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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.