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Finding the Third Proportional to 265,440.38 and 575,157.38

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Solution

The third proportional to 265,440.38 and 575,157.38 is: 1,246,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,440.38 : 575,157.38 = 575,157.38 : x
  2. Step 2: Convert to fraction form
    265,440.38/575,157.38 = 575,157.38/x
  3. Step 3: Cross multiply
    265,440.38x = 575,157.38 × 575,157.38
  4. Step 4: Simplify right side
    265,440.38x = 330,806,006,016.89
  5. Step 5: Solve for x
    x = 330,806,006,016.89/265,440.38
  6. Step 6: Final answer
    x = 1,246,253.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.