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Finding the Third Proportional to 247,738 and 535,220

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Solution

The third proportional to 247,738 and 535,220 is: 1,156,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,738 : 535,220 = 535,220 : x
  2. Step 2: Convert to fraction form
    247,738/535,220 = 535,220/x
  3. Step 3: Cross multiply
    247,738x = 535,220 × 535,220
  4. Step 4: Simplify right side
    247,738x = 286,460,448,400
  5. Step 5: Solve for x
    x = 286,460,448,400/247,738
  6. Step 6: Final answer
    x = 1,156,304.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.