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Finding the Third Proportional to 551,103 and 780,025

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Solution

The third proportional to 551,103 and 780,025 is: 1,104,038.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,103 : 780,025 = 780,025 : x
  2. Step 2: Convert to fraction form
    551,103/780,025 = 780,025/x
  3. Step 3: Cross multiply
    551,103x = 780,025 × 780,025
  4. Step 4: Simplify right side
    551,103x = 608,439,000,625
  5. Step 5: Solve for x
    x = 608,439,000,625/551,103
  6. Step 6: Final answer
    x = 1,104,038.63

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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.