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Finding the Third Proportional to 434,164.50 and 925,677

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Solution

The third proportional to 434,164.50 and 925,677 is: 1,973,624.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,164.50 : 925,677 = 925,677 : x
  2. Step 2: Convert to fraction form
    434,164.50/925,677 = 925,677/x
  3. Step 3: Cross multiply
    434,164.50x = 925,677 × 925,677
  4. Step 4: Simplify right side
    434,164.50x = 856,877,908,329
  5. Step 5: Solve for x
    x = 856,877,908,329/434,164.50
  6. Step 6: Final answer
    x = 1,973,624.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.