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Finding the Third Proportional to 208,461 and 449,970

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Solution

The third proportional to 208,461 and 449,970 is: 971,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,461 : 449,970 = 449,970 : x
  2. Step 2: Convert to fraction form
    208,461/449,970 = 449,970/x
  3. Step 3: Cross multiply
    208,461x = 449,970 × 449,970
  4. Step 4: Simplify right side
    208,461x = 202,473,000,900
  5. Step 5: Solve for x
    x = 202,473,000,900/208,461
  6. Step 6: Final answer
    x = 971,275.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.