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Finding the Third Proportional to 316,903.50 and 491,445

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Solution

The third proportional to 316,903.50 and 491,445 is: 762,119.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,903.50 : 491,445 = 491,445 : x
  2. Step 2: Convert to fraction form
    316,903.50/491,445 = 491,445/x
  3. Step 3: Cross multiply
    316,903.50x = 491,445 × 491,445
  4. Step 4: Simplify right side
    316,903.50x = 241,518,188,025
  5. Step 5: Solve for x
    x = 241,518,188,025/316,903.50
  6. Step 6: Final answer
    x = 762,119.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.