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Finding the Third Proportional to 602,050 and 825,580

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Solution

The third proportional to 602,050 and 825,580 is: 1,132,102.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,050 : 825,580 = 825,580 : x
  2. Step 2: Convert to fraction form
    602,050/825,580 = 825,580/x
  3. Step 3: Cross multiply
    602,050x = 825,580 × 825,580
  4. Step 4: Simplify right side
    602,050x = 681,582,336,400
  5. Step 5: Solve for x
    x = 681,582,336,400/602,050
  6. Step 6: Final answer
    x = 1,132,102.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.