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Finding the Third Proportional to 296,404 and 459,652

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Solution

The third proportional to 296,404 and 459,652 is: 712,810.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,404 : 459,652 = 459,652 : x
  2. Step 2: Convert to fraction form
    296,404/459,652 = 459,652/x
  3. Step 3: Cross multiply
    296,404x = 459,652 × 459,652
  4. Step 4: Simplify right side
    296,404x = 211,279,961,104
  5. Step 5: Solve for x
    x = 211,279,961,104/296,404
  6. Step 6: Final answer
    x = 712,810.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.