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Finding the Third Proportional to 526,500 and 770,004

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Solution

The third proportional to 526,500 and 770,004 is: 1,126,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,500 : 770,004 = 770,004 : x
  2. Step 2: Convert to fraction form
    526,500/770,004 = 770,004/x
  3. Step 3: Cross multiply
    526,500x = 770,004 × 770,004
  4. Step 4: Simplify right side
    526,500x = 592,906,160,016
  5. Step 5: Solve for x
    x = 592,906,160,016/526,500
  6. Step 6: Final answer
    x = 1,126,127.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.