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Finding the Third Proportional to 315,296 and 671,488

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Solution

The third proportional to 315,296 and 671,488 is: 1,430,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,296 : 671,488 = 671,488 : x
  2. Step 2: Convert to fraction form
    315,296/671,488 = 671,488/x
  3. Step 3: Cross multiply
    315,296x = 671,488 × 671,488
  4. Step 4: Simplify right side
    315,296x = 450,896,134,144
  5. Step 5: Solve for x
    x = 450,896,134,144/315,296
  6. Step 6: Final answer
    x = 1,430,072.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.