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Finding the Third Proportional to 449,169 and 675,576

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Solution

The third proportional to 449,169 and 675,576 is: 1,016,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,169 : 675,576 = 675,576 : x
  2. Step 2: Convert to fraction form
    449,169/675,576 = 675,576/x
  3. Step 3: Cross multiply
    449,169x = 675,576 × 675,576
  4. Step 4: Simplify right side
    449,169x = 456,402,931,776
  5. Step 5: Solve for x
    x = 456,402,931,776/449,169
  6. Step 6: Final answer
    x = 1,016,105.14

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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.