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Finding the Third Proportional to 296,013 and 651,075

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Solution

The third proportional to 296,013 and 651,075 is: 1,432,027.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,013 : 651,075 = 651,075 : x
  2. Step 2: Convert to fraction form
    296,013/651,075 = 651,075/x
  3. Step 3: Cross multiply
    296,013x = 651,075 × 651,075
  4. Step 4: Simplify right side
    296,013x = 423,898,655,625
  5. Step 5: Solve for x
    x = 423,898,655,625/296,013
  6. Step 6: Final answer
    x = 1,432,027.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.