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Finding the Third Proportional to 453,600 and 683,910

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Solution

The third proportional to 453,600 and 683,910 is: 1,031,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,600 : 683,910 = 683,910 : x
  2. Step 2: Convert to fraction form
    453,600/683,910 = 683,910/x
  3. Step 3: Cross multiply
    453,600x = 683,910 × 683,910
  4. Step 4: Simplify right side
    453,600x = 467,732,888,100
  5. Step 5: Solve for x
    x = 467,732,888,100/453,600
  6. Step 6: Final answer
    x = 1,031,157.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.