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Finding the Third Proportional to 297,973 and 651,649

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Solution

The third proportional to 297,973 and 651,649 is: 1,425,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,973 : 651,649 = 651,649 : x
  2. Step 2: Convert to fraction form
    297,973/651,649 = 651,649/x
  3. Step 3: Cross multiply
    297,973x = 651,649 × 651,649
  4. Step 4: Simplify right side
    297,973x = 424,646,419,201
  5. Step 5: Solve for x
    x = 424,646,419,201/297,973
  6. Step 6: Final answer
    x = 1,425,117.11

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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.