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Finding the Third Proportional to 291,134.81 and 633,527.44

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Solution

The third proportional to 291,134.81 and 633,527.44 is: 1,378,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,134.81 : 633,527.44 = 633,527.44 : x
  2. Step 2: Convert to fraction form
    291,134.81/633,527.44 = 633,527.44/x
  3. Step 3: Cross multiply
    291,134.81x = 633,527.44 × 633,527.44
  4. Step 4: Simplify right side
    291,134.81x = 401,357,014,065.32
  5. Step 5: Solve for x
    x = 401,357,014,065.32/291,134.81
  6. Step 6: Final answer
    x = 1,378,595.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.