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Finding the Third Proportional to 333,554 and 771,533

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Solution

The third proportional to 333,554 and 771,533 is: 1,784,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,554 : 771,533 = 771,533 : x
  2. Step 2: Convert to fraction form
    333,554/771,533 = 771,533/x
  3. Step 3: Cross multiply
    333,554x = 771,533 × 771,533
  4. Step 4: Simplify right side
    333,554x = 595,263,170,089
  5. Step 5: Solve for x
    x = 595,263,170,089/333,554
  6. Step 6: Final answer
    x = 1,784,608.10

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.