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Finding the Third Proportional to 407,252.81 and 535,536.56

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Solution

The third proportional to 407,252.81 and 535,536.56 is: 704,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,252.81 : 535,536.56 = 535,536.56 : x
  2. Step 2: Convert to fraction form
    407,252.81/535,536.56 = 535,536.56/x
  3. Step 3: Cross multiply
    407,252.81x = 535,536.56 × 535,536.56
  4. Step 4: Simplify right side
    407,252.81x = 286,799,409,774.32
  5. Step 5: Solve for x
    x = 286,799,409,774.32/407,252.81
  6. Step 6: Final answer
    x = 704,229.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.