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Finding the Third Proportional to 539,304 and 798,345

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Solution

The third proportional to 539,304 and 798,345 is: 1,181,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,304 : 798,345 = 798,345 : x
  2. Step 2: Convert to fraction form
    539,304/798,345 = 798,345/x
  3. Step 3: Cross multiply
    539,304x = 798,345 × 798,345
  4. Step 4: Simplify right side
    539,304x = 637,354,739,025
  5. Step 5: Solve for x
    x = 637,354,739,025/539,304
  6. Step 6: Final answer
    x = 1,181,809.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.