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Finding the Third Proportional to 550,116.75 and 841,512.38

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Solution

The third proportional to 550,116.75 and 841,512.38 is: 1,287,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,116.75 : 841,512.38 = 841,512.38 : x
  2. Step 2: Convert to fraction form
    550,116.75/841,512.38 = 841,512.38/x
  3. Step 3: Cross multiply
    550,116.75x = 841,512.38 × 841,512.38
  4. Step 4: Simplify right side
    550,116.75x = 708,143,077,278.14
  5. Step 5: Solve for x
    x = 708,143,077,278.14/550,116.75
  6. Step 6: Final answer
    x = 1,287,259.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.