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Finding the Third Proportional to 285,226 and 448,611

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Solution

The third proportional to 285,226 and 448,611 is: 705,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,226 : 448,611 = 448,611 : x
  2. Step 2: Convert to fraction form
    285,226/448,611 = 448,611/x
  3. Step 3: Cross multiply
    285,226x = 448,611 × 448,611
  4. Step 4: Simplify right side
    285,226x = 201,251,829,321
  5. Step 5: Solve for x
    x = 201,251,829,321/285,226
  6. Step 6: Final answer
    x = 705,587.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.