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Finding the Third Proportional to 435,669 and 666,319.50

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Solution

The third proportional to 435,669 and 666,319.50 is: 1,019,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,669 : 666,319.50 = 666,319.50 : x
  2. Step 2: Convert to fraction form
    435,669/666,319.50 = 666,319.50/x
  3. Step 3: Cross multiply
    435,669x = 666,319.50 × 666,319.50
  4. Step 4: Simplify right side
    435,669x = 443,981,676,080.25
  5. Step 5: Solve for x
    x = 443,981,676,080.25/435,669
  6. Step 6: Final answer
    x = 1,019,080.26

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.