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Finding the Third Proportional to 434,759.34 and 600,755.34

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Solution

The third proportional to 434,759.34 and 600,755.34 is: 830,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,759.34 : 600,755.34 = 600,755.34 : x
  2. Step 2: Convert to fraction form
    434,759.34/600,755.34 = 600,755.34/x
  3. Step 3: Cross multiply
    434,759.34x = 600,755.34 × 600,755.34
  4. Step 4: Simplify right side
    434,759.34x = 360,906,983,044.18
  5. Step 5: Solve for x
    x = 360,906,983,044.18/434,759.34
  6. Step 6: Final answer
    x = 830,130.48

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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.