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Finding the Third Proportional to 257,333.63 and 564,512.63

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Solution

The third proportional to 257,333.63 and 564,512.63 is: 1,238,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,333.63 : 564,512.63 = 564,512.63 : x
  2. Step 2: Convert to fraction form
    257,333.63/564,512.63 = 564,512.63/x
  3. Step 3: Cross multiply
    257,333.63x = 564,512.63 × 564,512.63
  4. Step 4: Simplify right side
    257,333.63x = 318,674,503,784.39
  5. Step 5: Solve for x
    x = 318,674,503,784.39/257,333.63
  6. Step 6: Final answer
    x = 1,238,371.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.