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Finding the Third Proportional to 652,255 and 901,269

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Solution

The third proportional to 652,255 and 901,269 is: 1,245,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,255 : 901,269 = 901,269 : x
  2. Step 2: Convert to fraction form
    652,255/901,269 = 901,269/x
  3. Step 3: Cross multiply
    652,255x = 901,269 × 901,269
  4. Step 4: Simplify right side
    652,255x = 812,285,810,361
  5. Step 5: Solve for x
    x = 812,285,810,361/652,255
  6. Step 6: Final answer
    x = 1,245,350.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.