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Finding the Third Proportional to 296,325 and 459,531

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Solution

The third proportional to 296,325 and 459,531 is: 712,625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,325 : 459,531 = 459,531 : x
  2. Step 2: Convert to fraction form
    296,325/459,531 = 459,531/x
  3. Step 3: Cross multiply
    296,325x = 459,531 × 459,531
  4. Step 4: Simplify right side
    296,325x = 211,168,739,961
  5. Step 5: Solve for x
    x = 211,168,739,961/296,325
  6. Step 6: Final answer
    x = 712,625.46

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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.