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Finding the Third Proportional to 297,440 and 453,129

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Solution

The third proportional to 297,440 and 453,129 is: 690,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,440 : 453,129 = 453,129 : x
  2. Step 2: Convert to fraction form
    297,440/453,129 = 453,129/x
  3. Step 3: Cross multiply
    297,440x = 453,129 × 453,129
  4. Step 4: Simplify right side
    297,440x = 205,325,890,641
  5. Step 5: Solve for x
    x = 205,325,890,641/297,440
  6. Step 6: Final answer
    x = 690,310.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.