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Finding the Third Proportional to 550,107 and 841,506.75

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Solution

The third proportional to 550,107 and 841,506.75 is: 1,287,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,107 : 841,506.75 = 841,506.75 : x
  2. Step 2: Convert to fraction form
    550,107/841,506.75 = 841,506.75/x
  3. Step 3: Cross multiply
    550,107x = 841,506.75 × 841,506.75
  4. Step 4: Simplify right side
    550,107x = 708,133,610,295.56
  5. Step 5: Solve for x
    x = 708,133,610,295.56/550,107
  6. Step 6: Final answer
    x = 1,287,265.22

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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.