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Finding the Third Proportional to 434,327.63 and 660,346.88

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Solution

The third proportional to 434,327.63 and 660,346.88 is: 1,003,984.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,327.63 : 660,346.88 = 660,346.88 : x
  2. Step 2: Convert to fraction form
    434,327.63/660,346.88 = 660,346.88/x
  3. Step 3: Cross multiply
    434,327.63x = 660,346.88 × 660,346.88
  4. Step 4: Simplify right side
    434,327.63x = 436,057,995,322.27
  5. Step 5: Solve for x
    x = 436,057,995,322.27/434,327.63
  6. Step 6: Final answer
    x = 1,003,984.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.