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Finding the Third Proportional to 296,671 and 439,458

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Solution

The third proportional to 296,671 and 439,458 is: 650,968.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,671 : 439,458 = 439,458 : x
  2. Step 2: Convert to fraction form
    296,671/439,458 = 439,458/x
  3. Step 3: Cross multiply
    296,671x = 439,458 × 439,458
  4. Step 4: Simplify right side
    296,671x = 193,123,333,764
  5. Step 5: Solve for x
    x = 193,123,333,764/296,671
  6. Step 6: Final answer
    x = 650,968.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.