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Finding the Third Proportional to 449,160 and 675,558

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Solution

The third proportional to 449,160 and 675,558 is: 1,016,071.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,160 : 675,558 = 675,558 : x
  2. Step 2: Convert to fraction form
    449,160/675,558 = 675,558/x
  3. Step 3: Cross multiply
    449,160x = 675,558 × 675,558
  4. Step 4: Simplify right side
    449,160x = 456,378,611,364
  5. Step 5: Solve for x
    x = 456,378,611,364/449,160
  6. Step 6: Final answer
    x = 1,016,071.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.