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Finding the Third Proportional to 434,184.50 and 655,813.75

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Solution

The third proportional to 434,184.50 and 655,813.75 is: 990,573.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,184.50 : 655,813.75 = 655,813.75 : x
  2. Step 2: Convert to fraction form
    434,184.50/655,813.75 = 655,813.75/x
  3. Step 3: Cross multiply
    434,184.50x = 655,813.75 × 655,813.75
  4. Step 4: Simplify right side
    434,184.50x = 430,091,674,689.06
  5. Step 5: Solve for x
    x = 430,091,674,689.06/434,184.50
  6. Step 6: Final answer
    x = 990,573.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.