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Finding the Third Proportional to 297,905 and 441,070

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Solution

The third proportional to 297,905 and 441,070 is: 653,036.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,905 : 441,070 = 441,070 : x
  2. Step 2: Convert to fraction form
    297,905/441,070 = 441,070/x
  3. Step 3: Cross multiply
    297,905x = 441,070 × 441,070
  4. Step 4: Simplify right side
    297,905x = 194,542,744,900
  5. Step 5: Solve for x
    x = 194,542,744,900/297,905
  6. Step 6: Final answer
    x = 653,036.19

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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.