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Finding the Third Proportional to 257,991.75 and 390,889.13

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Solution

The third proportional to 257,991.75 and 390,889.13 is: 592,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,991.75 : 390,889.13 = 390,889.13 : x
  2. Step 2: Convert to fraction form
    257,991.75/390,889.13 = 390,889.13/x
  3. Step 3: Cross multiply
    257,991.75x = 390,889.13 × 390,889.13
  4. Step 4: Simplify right side
    257,991.75x = 152,794,308,043.27
  5. Step 5: Solve for x
    x = 152,794,308,043.27/257,991.75
  6. Step 6: Final answer
    x = 592,244.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.