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Finding the Third Proportional to 435,019.50 and 612,612

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Solution

The third proportional to 435,019.50 and 612,612 is: 862,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,019.50 : 612,612 = 612,612 : x
  2. Step 2: Convert to fraction form
    435,019.50/612,612 = 612,612/x
  3. Step 3: Cross multiply
    435,019.50x = 612,612 × 612,612
  4. Step 4: Simplify right side
    435,019.50x = 375,293,462,544
  5. Step 5: Solve for x
    x = 375,293,462,544/435,019.50
  6. Step 6: Final answer
    x = 862,704.92

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