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Finding the Third Proportional to 372,996 and 798,345

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Solution

The third proportional to 372,996 and 798,345 is: 1,708,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,996 : 798,345 = 798,345 : x
  2. Step 2: Convert to fraction form
    372,996/798,345 = 798,345/x
  3. Step 3: Cross multiply
    372,996x = 798,345 × 798,345
  4. Step 4: Simplify right side
    372,996x = 637,354,739,025
  5. Step 5: Solve for x
    x = 637,354,739,025/372,996
  6. Step 6: Final answer
    x = 1,708,744.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.