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Finding the Third Proportional to 244,322 and 525,580

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Solution

The third proportional to 244,322 and 525,580 is: 1,130,615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,322 : 525,580 = 525,580 : x
  2. Step 2: Convert to fraction form
    244,322/525,580 = 525,580/x
  3. Step 3: Cross multiply
    244,322x = 525,580 × 525,580
  4. Step 4: Simplify right side
    244,322x = 276,234,336,400
  5. Step 5: Solve for x
    x = 276,234,336,400/244,322
  6. Step 6: Final answer
    x = 1,130,615.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.