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Finding the Third Proportional to 400,609.50 and 535,110

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Solution

The third proportional to 400,609.50 and 535,110 is: 714,767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,609.50 : 535,110 = 535,110 : x
  2. Step 2: Convert to fraction form
    400,609.50/535,110 = 535,110/x
  3. Step 3: Cross multiply
    400,609.50x = 535,110 × 535,110
  4. Step 4: Simplify right side
    400,609.50x = 286,342,712,100
  5. Step 5: Solve for x
    x = 286,342,712,100/400,609.50
  6. Step 6: Final answer
    x = 714,767.65

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.