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Finding the Third Proportional to 459,788 and 683,122

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Solution

The third proportional to 459,788 and 683,122 is: 1,014,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,788 : 683,122 = 683,122 : x
  2. Step 2: Convert to fraction form
    459,788/683,122 = 683,122/x
  3. Step 3: Cross multiply
    459,788x = 683,122 × 683,122
  4. Step 4: Simplify right side
    459,788x = 466,655,666,884
  5. Step 5: Solve for x
    x = 466,655,666,884/459,788
  6. Step 6: Final answer
    x = 1,014,936.59

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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.