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Finding the Third Proportional to 233,291.81 and 491,482.69

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Solution

The third proportional to 233,291.81 and 491,482.69 is: 1,035,420.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,291.81 : 491,482.69 = 491,482.69 : x
  2. Step 2: Convert to fraction form
    233,291.81/491,482.69 = 491,482.69/x
  3. Step 3: Cross multiply
    233,291.81x = 491,482.69 × 491,482.69
  4. Step 4: Simplify right side
    233,291.81x = 241,555,232,112.22
  5. Step 5: Solve for x
    x = 241,555,232,112.22/233,291.81
  6. Step 6: Final answer
    x = 1,035,420.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.