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Finding the Third Proportional to 525,210 and 800,937

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Solution

The third proportional to 525,210 and 800,937 is: 1,221,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,210 : 800,937 = 800,937 : x
  2. Step 2: Convert to fraction form
    525,210/800,937 = 800,937/x
  3. Step 3: Cross multiply
    525,210x = 800,937 × 800,937
  4. Step 4: Simplify right side
    525,210x = 641,500,077,969
  5. Step 5: Solve for x
    x = 641,500,077,969/525,210
  6. Step 6: Final answer
    x = 1,221,416.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.