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Finding the Third Proportional to 296,631.38 and 614,291.25

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Solution

The third proportional to 296,631.38 and 614,291.25 is: 1,272,130.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,631.38 : 614,291.25 = 614,291.25 : x
  2. Step 2: Convert to fraction form
    296,631.38/614,291.25 = 614,291.25/x
  3. Step 3: Cross multiply
    296,631.38x = 614,291.25 × 614,291.25
  4. Step 4: Simplify right side
    296,631.38x = 377,353,739,826.56
  5. Step 5: Solve for x
    x = 377,353,739,826.56/296,631.38
  6. Step 6: Final answer
    x = 1,272,130.23

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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.