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Finding the Third Proportional to 550,107.75 and 841,508.25

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Solution

The third proportional to 550,107.75 and 841,508.25 is: 1,287,268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,107.75 : 841,508.25 = 841,508.25 : x
  2. Step 2: Convert to fraction form
    550,107.75/841,508.25 = 841,508.25/x
  3. Step 3: Cross multiply
    550,107.75x = 841,508.25 × 841,508.25
  4. Step 4: Simplify right side
    550,107.75x = 708,136,134,818.06
  5. Step 5: Solve for x
    x = 708,136,134,818.06/550,107.75
  6. Step 6: Final answer
    x = 1,287,268.06

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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.