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Finding the Third Proportional to 257,810.34 and 555,118.31

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Solution

The third proportional to 257,810.34 and 555,118.31 is: 1,195,283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,810.34 : 555,118.31 = 555,118.31 : x
  2. Step 2: Convert to fraction form
    257,810.34/555,118.31 = 555,118.31/x
  3. Step 3: Cross multiply
    257,810.34x = 555,118.31 × 555,118.31
  4. Step 4: Simplify right side
    257,810.34x = 308,156,340,872.85
  5. Step 5: Solve for x
    x = 308,156,340,872.85/257,810.34
  6. Step 6: Final answer
    x = 1,195,283.08

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.