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Finding the Third Proportional to 263,022.19 and 575,246.81

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Solution

The third proportional to 263,022.19 and 575,246.81 is: 1,258,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,022.19 : 575,246.81 = 575,246.81 : x
  2. Step 2: Convert to fraction form
    263,022.19/575,246.81 = 575,246.81/x
  3. Step 3: Cross multiply
    263,022.19x = 575,246.81 × 575,246.81
  4. Step 4: Simplify right side
    263,022.19x = 330,908,895,291.41
  5. Step 5: Solve for x
    x = 330,908,895,291.41/263,022.19
  6. Step 6: Final answer
    x = 1,258,102.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.