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Finding the Third Proportional to 655,223.50 and 1,401,529

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Solution

The third proportional to 655,223.50 and 1,401,529 is: 2,997,883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,223.50 : 1,401,529 = 1,401,529 : x
  2. Step 2: Convert to fraction form
    655,223.50/1,401,529 = 1,401,529/x
  3. Step 3: Cross multiply
    655,223.50x = 1,401,529 × 1,401,529
  4. Step 4: Simplify right side
    655,223.50x = 1,964,283,537,841
  5. Step 5: Solve for x
    x = 1,964,283,537,841/655,223.50
  6. Step 6: Final answer
    x = 2,997,883.22

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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.