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Finding the Third Proportional to 294,452 and 459,174

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Solution

The third proportional to 294,452 and 459,174 is: 716,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,452 : 459,174 = 459,174 : x
  2. Step 2: Convert to fraction form
    294,452/459,174 = 459,174/x
  3. Step 3: Cross multiply
    294,452x = 459,174 × 459,174
  4. Step 4: Simplify right side
    294,452x = 210,840,762,276
  5. Step 5: Solve for x
    x = 210,840,762,276/294,452
  6. Step 6: Final answer
    x = 716,044.59

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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.