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Finding the Third Proportional to 484,283.81 and 754,104.94

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Solution

The third proportional to 484,283.81 and 754,104.94 is: 1,174,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,283.81 : 754,104.94 = 754,104.94 : x
  2. Step 2: Convert to fraction form
    484,283.81/754,104.94 = 754,104.94/x
  3. Step 3: Cross multiply
    484,283.81x = 754,104.94 × 754,104.94
  4. Step 4: Simplify right side
    484,283.81x = 568,674,256,761.88
  5. Step 5: Solve for x
    x = 568,674,256,761.88/484,283.81
  6. Step 6: Final answer
    x = 1,174,258.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.