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Finding the Third Proportional to 208,609.50 and 456,585

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Solution

The third proportional to 208,609.50 and 456,585 is: 999,330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,609.50 : 456,585 = 456,585 : x
  2. Step 2: Convert to fraction form
    208,609.50/456,585 = 456,585/x
  3. Step 3: Cross multiply
    208,609.50x = 456,585 × 456,585
  4. Step 4: Simplify right side
    208,609.50x = 208,469,862,225
  5. Step 5: Solve for x
    x = 208,469,862,225/208,609.50
  6. Step 6: Final answer
    x = 999,330.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.