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Finding the Third Proportional to 315,274 and 671,444

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Solution

The third proportional to 315,274 and 671,444 is: 1,429,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,274 : 671,444 = 671,444 : x
  2. Step 2: Convert to fraction form
    315,274/671,444 = 671,444/x
  3. Step 3: Cross multiply
    315,274x = 671,444 × 671,444
  4. Step 4: Simplify right side
    315,274x = 450,837,045,136
  5. Step 5: Solve for x
    x = 450,837,045,136/315,274
  6. Step 6: Final answer
    x = 1,429,984.85

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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.