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Finding the Third Proportional to 208,412 and 448,970

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Solution

The third proportional to 208,412 and 448,970 is: 967,190.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,412 : 448,970 = 448,970 : x
  2. Step 2: Convert to fraction form
    208,412/448,970 = 448,970/x
  3. Step 3: Cross multiply
    208,412x = 448,970 × 448,970
  4. Step 4: Simplify right side
    208,412x = 201,574,060,900
  5. Step 5: Solve for x
    x = 201,574,060,900/208,412
  6. Step 6: Final answer
    x = 967,190.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.