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Finding the Third Proportional to 550,988.75 and 851,417.75

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Solution

The third proportional to 550,988.75 and 851,417.75 is: 1,315,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,988.75 : 851,417.75 = 851,417.75 : x
  2. Step 2: Convert to fraction form
    550,988.75/851,417.75 = 851,417.75/x
  3. Step 3: Cross multiply
    550,988.75x = 851,417.75 × 851,417.75
  4. Step 4: Simplify right side
    550,988.75x = 724,912,185,015.06
  5. Step 5: Solve for x
    x = 724,912,185,015.06/550,988.75
  6. Step 6: Final answer
    x = 1,315,656.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.