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Finding the Third Proportional to 551,136 and 780,075

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Solution

The third proportional to 551,136 and 780,075 is: 1,104,114.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,136 : 780,075 = 780,075 : x
  2. Step 2: Convert to fraction form
    551,136/780,075 = 780,075/x
  3. Step 3: Cross multiply
    551,136x = 780,075 × 780,075
  4. Step 4: Simplify right side
    551,136x = 608,517,005,625
  5. Step 5: Solve for x
    x = 608,517,005,625/551,136
  6. Step 6: Final answer
    x = 1,104,114.06

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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.