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Finding the Third Proportional to 208,604 and 448,657

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Solution

The third proportional to 208,604 and 448,657 is: 964,953.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,604 : 448,657 = 448,657 : x
  2. Step 2: Convert to fraction form
    208,604/448,657 = 448,657/x
  3. Step 3: Cross multiply
    208,604x = 448,657 × 448,657
  4. Step 4: Simplify right side
    208,604x = 201,293,103,649
  5. Step 5: Solve for x
    x = 201,293,103,649/208,604
  6. Step 6: Final answer
    x = 964,953.23

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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.