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Finding the Third Proportional to 294,457 and 459,182

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Solution

The third proportional to 294,457 and 459,182 is: 716,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,457 : 459,182 = 459,182 : x
  2. Step 2: Convert to fraction form
    294,457/459,182 = 459,182/x
  3. Step 3: Cross multiply
    294,457x = 459,182 × 459,182
  4. Step 4: Simplify right side
    294,457x = 210,848,109,124
  5. Step 5: Solve for x
    x = 210,848,109,124/294,457
  6. Step 6: Final answer
    x = 716,057.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.