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Finding the Third Proportional to 255,869.93 and 401,335.07

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Solution

The third proportional to 255,869.93 and 401,335.07 is: 629,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,869.93 : 401,335.07 = 401,335.07 : x
  2. Step 2: Convert to fraction form
    255,869.93/401,335.07 = 401,335.07/x
  3. Step 3: Cross multiply
    255,869.93x = 401,335.07 × 401,335.07
  4. Step 4: Simplify right side
    255,869.93x = 161,069,835,527.31
  5. Step 5: Solve for x
    x = 161,069,835,527.31/255,869.93
  6. Step 6: Final answer
    x = 629,498.89

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.