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Finding the Third Proportional to 257,578.31 and 559,490.63

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Solution

The third proportional to 257,578.31 and 559,490.63 is: 1,215,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,578.31 : 559,490.63 = 559,490.63 : x
  2. Step 2: Convert to fraction form
    257,578.31/559,490.63 = 559,490.63/x
  3. Step 3: Cross multiply
    257,578.31x = 559,490.63 × 559,490.63
  4. Step 4: Simplify right side
    257,578.31x = 313,029,759,462.89
  5. Step 5: Solve for x
    x = 313,029,759,462.89/257,578.31
  6. Step 6: Final answer
    x = 1,215,279.95

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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.