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Finding the Third Proportional to 434,799 and 600,795.75

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Solution

The third proportional to 434,799 and 600,795.75 is: 830,166.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,799 : 600,795.75 = 600,795.75 : x
  2. Step 2: Convert to fraction form
    434,799/600,795.75 = 600,795.75/x
  3. Step 3: Cross multiply
    434,799x = 600,795.75 × 600,795.75
  4. Step 4: Simplify right side
    434,799x = 360,955,533,218.06
  5. Step 5: Solve for x
    x = 360,955,533,218.06/434,799
  6. Step 6: Final answer
    x = 830,166.43

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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.