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Finding the Third Proportional to 550,927 and 780,259

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Solution

The third proportional to 550,927 and 780,259 is: 1,105,054.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,927 : 780,259 = 780,259 : x
  2. Step 2: Convert to fraction form
    550,927/780,259 = 780,259/x
  3. Step 3: Cross multiply
    550,927x = 780,259 × 780,259
  4. Step 4: Simplify right side
    550,927x = 608,804,107,081
  5. Step 5: Solve for x
    x = 608,804,107,081/550,927
  6. Step 6: Final answer
    x = 1,105,054.04

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.