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Finding the Third Proportional to 297,676 and 651,239

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Solution

The third proportional to 297,676 and 651,239 is: 1,424,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,676 : 651,239 = 651,239 : x
  2. Step 2: Convert to fraction form
    297,676/651,239 = 651,239/x
  3. Step 3: Cross multiply
    297,676x = 651,239 × 651,239
  4. Step 4: Simplify right side
    297,676x = 424,112,235,121
  5. Step 5: Solve for x
    x = 424,112,235,121/297,676
  6. Step 6: Final answer
    x = 1,424,744.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.