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Finding the Third Proportional to 297,972 and 651,652

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Solution

The third proportional to 297,972 and 651,652 is: 1,425,135.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,972 : 651,652 = 651,652 : x
  2. Step 2: Convert to fraction form
    297,972/651,652 = 651,652/x
  3. Step 3: Cross multiply
    297,972x = 651,652 × 651,652
  4. Step 4: Simplify right side
    297,972x = 424,650,329,104
  5. Step 5: Solve for x
    x = 424,650,329,104/297,972
  6. Step 6: Final answer
    x = 1,425,135.01

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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.