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Finding the Third Proportional to 435,028.50 and 612,624.75

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Solution

The third proportional to 435,028.50 and 612,624.75 is: 862,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,028.50 : 612,624.75 = 612,624.75 : x
  2. Step 2: Convert to fraction form
    435,028.50/612,624.75 = 612,624.75/x
  3. Step 3: Cross multiply
    435,028.50x = 612,624.75 × 612,624.75
  4. Step 4: Simplify right side
    435,028.50x = 375,309,084,312.56
  5. Step 5: Solve for x
    x = 375,309,084,312.56/435,028.50
  6. Step 6: Final answer
    x = 862,722.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.