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Finding the Third Proportional to 297,381.38 and 423,928.13

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Solution

The third proportional to 297,381.38 and 423,928.13 is: 604,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,381.38 : 423,928.13 = 423,928.13 : x
  2. Step 2: Convert to fraction form
    297,381.38/423,928.13 = 423,928.13/x
  3. Step 3: Cross multiply
    297,381.38x = 423,928.13 × 423,928.13
  4. Step 4: Simplify right side
    297,381.38x = 179,715,055,166.02
  5. Step 5: Solve for x
    x = 179,715,055,166.02/297,381.38
  6. Step 6: Final answer
    x = 604,325.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.