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Finding the Third Proportional to 296,692.88 and 614,395.13

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Solution

The third proportional to 296,692.88 and 614,395.13 is: 1,272,296.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,692.88 : 614,395.13 = 614,395.13 : x
  2. Step 2: Convert to fraction form
    296,692.88/614,395.13 = 614,395.13/x
  3. Step 3: Cross multiply
    296,692.88x = 614,395.13 × 614,395.13
  4. Step 4: Simplify right side
    296,692.88x = 377,481,369,623.77
  5. Step 5: Solve for x
    x = 377,481,369,623.77/296,692.88
  6. Step 6: Final answer
    x = 1,272,296.71

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.