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Finding the Third Proportional to 321,045 and 476,946

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Solution

The third proportional to 321,045 and 476,946 is: 708,553.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,045 : 476,946 = 476,946 : x
  2. Step 2: Convert to fraction form
    321,045/476,946 = 476,946/x
  3. Step 3: Cross multiply
    321,045x = 476,946 × 476,946
  4. Step 4: Simplify right side
    321,045x = 227,477,486,916
  5. Step 5: Solve for x
    x = 227,477,486,916/321,045
  6. Step 6: Final answer
    x = 708,553.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.