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Finding the Third Proportional to 551,108 and 780,030

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Solution

The third proportional to 551,108 and 780,030 is: 1,104,042.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,108 : 780,030 = 780,030 : x
  2. Step 2: Convert to fraction form
    551,108/780,030 = 780,030/x
  3. Step 3: Cross multiply
    551,108x = 780,030 × 780,030
  4. Step 4: Simplify right side
    551,108x = 608,446,800,900
  5. Step 5: Solve for x
    x = 608,446,800,900/551,108
  6. Step 6: Final answer
    x = 1,104,042.77

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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.