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Finding the Third Proportional to 255,542.34 and 400,926.59

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Solution

The third proportional to 255,542.34 and 400,926.59 is: 629,023.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,542.34 : 400,926.59 = 400,926.59 : x
  2. Step 2: Convert to fraction form
    255,542.34/400,926.59 = 400,926.59/x
  3. Step 3: Cross multiply
    255,542.34x = 400,926.59 × 400,926.59
  4. Step 4: Simplify right side
    255,542.34x = 160,742,127,311.50
  5. Step 5: Solve for x
    x = 160,742,127,311.50/255,542.34
  6. Step 6: Final answer
    x = 629,023.45

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Why These Related Problems?

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