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Finding the Third Proportional to 260,582 and 412,954

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Solution

The third proportional to 260,582 and 412,954 is: 654,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,582 : 412,954 = 412,954 : x
  2. Step 2: Convert to fraction form
    260,582/412,954 = 412,954/x
  3. Step 3: Cross multiply
    260,582x = 412,954 × 412,954
  4. Step 4: Simplify right side
    260,582x = 170,531,006,116
  5. Step 5: Solve for x
    x = 170,531,006,116/260,582
  6. Step 6: Final answer
    x = 654,423.58

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.