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Finding the Third Proportional to 637,624 and 955,208

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Solution

The third proportional to 637,624 and 955,208 is: 1,430,972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,624 : 955,208 = 955,208 : x
  2. Step 2: Convert to fraction form
    637,624/955,208 = 955,208/x
  3. Step 3: Cross multiply
    637,624x = 955,208 × 955,208
  4. Step 4: Simplify right side
    637,624x = 912,422,323,264
  5. Step 5: Solve for x
    x = 912,422,323,264/637,624
  6. Step 6: Final answer
    x = 1,430,972.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.