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Finding the Third Proportional to 314,148 and 670,632

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Solution

The third proportional to 314,148 and 670,632 is: 1,431,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,148 : 670,632 = 670,632 : x
  2. Step 2: Convert to fraction form
    314,148/670,632 = 670,632/x
  3. Step 3: Cross multiply
    314,148x = 670,632 × 670,632
  4. Step 4: Simplify right side
    314,148x = 449,747,279,424
  5. Step 5: Solve for x
    x = 449,747,279,424/314,148
  6. Step 6: Final answer
    x = 1,431,641.39

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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.