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Finding the Third Proportional to 208,602 and 448,643

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Solution

The third proportional to 208,602 and 448,643 is: 964,902.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,602 : 448,643 = 448,643 : x
  2. Step 2: Convert to fraction form
    208,602/448,643 = 448,643/x
  3. Step 3: Cross multiply
    208,602x = 448,643 × 448,643
  4. Step 4: Simplify right side
    208,602x = 201,280,541,449
  5. Step 5: Solve for x
    x = 201,280,541,449/208,602
  6. Step 6: Final answer
    x = 964,902.26

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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.