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Finding the Third Proportional to 237,029.63 and 514,248.75

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Solution

The third proportional to 237,029.63 and 514,248.75 is: 1,115,690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,029.63 : 514,248.75 = 514,248.75 : x
  2. Step 2: Convert to fraction form
    237,029.63/514,248.75 = 514,248.75/x
  3. Step 3: Cross multiply
    237,029.63x = 514,248.75 × 514,248.75
  4. Step 4: Simplify right side
    237,029.63x = 264,451,776,876.56
  5. Step 5: Solve for x
    x = 264,451,776,876.56/237,029.63
  6. Step 6: Final answer
    x = 1,115,690.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.