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Finding the Third Proportional to 414,106 and 618,683

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Solution

The third proportional to 414,106 and 618,683 is: 924,325.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,106 : 618,683 = 618,683 : x
  2. Step 2: Convert to fraction form
    414,106/618,683 = 618,683/x
  3. Step 3: Cross multiply
    414,106x = 618,683 × 618,683
  4. Step 4: Simplify right side
    414,106x = 382,768,654,489
  5. Step 5: Solve for x
    x = 382,768,654,489/414,106
  6. Step 6: Final answer
    x = 924,325.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.