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Finding the Third Proportional to 297,905 and 638,450

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Solution

The third proportional to 297,905 and 638,450 is: 1,368,283.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,905 : 638,450 = 638,450 : x
  2. Step 2: Convert to fraction form
    297,905/638,450 = 638,450/x
  3. Step 3: Cross multiply
    297,905x = 638,450 × 638,450
  4. Step 4: Simplify right side
    297,905x = 407,618,402,500
  5. Step 5: Solve for x
    x = 407,618,402,500/297,905
  6. Step 6: Final answer
    x = 1,368,283.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.