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Finding the Third Proportional to 456,444 and 671,742

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Solution

The third proportional to 456,444 and 671,742 is: 988,592.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,444 : 671,742 = 671,742 : x
  2. Step 2: Convert to fraction form
    456,444/671,742 = 671,742/x
  3. Step 3: Cross multiply
    456,444x = 671,742 × 671,742
  4. Step 4: Simplify right side
    456,444x = 451,237,314,564
  5. Step 5: Solve for x
    x = 451,237,314,564/456,444
  6. Step 6: Final answer
    x = 988,592.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.