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Finding the Third Proportional to 238,568.63 and 510,814.13

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Solution

The third proportional to 238,568.63 and 510,814.13 is: 1,093,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,568.63 : 510,814.13 = 510,814.13 : x
  2. Step 2: Convert to fraction form
    238,568.63/510,814.13 = 510,814.13/x
  3. Step 3: Cross multiply
    238,568.63x = 510,814.13 × 510,814.13
  4. Step 4: Simplify right side
    238,568.63x = 260,931,070,299.52
  5. Step 5: Solve for x
    x = 260,931,070,299.52/238,568.63
  6. Step 6: Final answer
    x = 1,093,735.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.