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Finding the Third Proportional to 431,349 and 934,096.50

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Solution

The third proportional to 431,349 and 934,096.50 is: 2,022,808.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,349 : 934,096.50 = 934,096.50 : x
  2. Step 2: Convert to fraction form
    431,349/934,096.50 = 934,096.50/x
  3. Step 3: Cross multiply
    431,349x = 934,096.50 × 934,096.50
  4. Step 4: Simplify right side
    431,349x = 872,536,271,312.25
  5. Step 5: Solve for x
    x = 872,536,271,312.25/431,349
  6. Step 6: Final answer
    x = 2,022,808.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.