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Finding the Third Proportional to 296,631 and 614,291.06

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Solution

The third proportional to 296,631 and 614,291.06 is: 1,272,131.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,631 : 614,291.06 = 614,291.06 : x
  2. Step 2: Convert to fraction form
    296,631/614,291.06 = 614,291.06/x
  3. Step 3: Cross multiply
    296,631x = 614,291.06 × 614,291.06
  4. Step 4: Simplify right side
    296,631x = 377,353,509,467.38
  5. Step 5: Solve for x
    x = 377,353,509,467.38/296,631
  6. Step 6: Final answer
    x = 1,272,131.06

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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.