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Finding the Third Proportional to 329,080.50 and 712,134

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Solution

The third proportional to 329,080.50 and 712,134 is: 1,541,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,080.50 : 712,134 = 712,134 : x
  2. Step 2: Convert to fraction form
    329,080.50/712,134 = 712,134/x
  3. Step 3: Cross multiply
    329,080.50x = 712,134 × 712,134
  4. Step 4: Simplify right side
    329,080.50x = 507,134,833,956
  5. Step 5: Solve for x
    x = 507,134,833,956/329,080.50
  6. Step 6: Final answer
    x = 1,541,066.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.