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Finding the Third Proportional to 550,727.25 and 841,920

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Solution

The third proportional to 550,727.25 and 841,920 is: 1,287,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,727.25 : 841,920 = 841,920 : x
  2. Step 2: Convert to fraction form
    550,727.25/841,920 = 841,920/x
  3. Step 3: Cross multiply
    550,727.25x = 841,920 × 841,920
  4. Step 4: Simplify right side
    550,727.25x = 708,829,286,400
  5. Step 5: Solve for x
    x = 708,829,286,400/550,727.25
  6. Step 6: Final answer
    x = 1,287,078.65

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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.