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Finding the Third Proportional to 551,116 and 780,102

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Solution

The third proportional to 551,116 and 780,102 is: 1,104,230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,116 : 780,102 = 780,102 : x
  2. Step 2: Convert to fraction form
    551,116/780,102 = 780,102/x
  3. Step 3: Cross multiply
    551,116x = 780,102 × 780,102
  4. Step 4: Simplify right side
    551,116x = 608,559,130,404
  5. Step 5: Solve for x
    x = 608,559,130,404/551,116
  6. Step 6: Final answer
    x = 1,104,230.56

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Why These Related Problems?

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