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Finding the Third Proportional to 435,613.50 and 933,435

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Solution

The third proportional to 435,613.50 and 933,435 is: 2,000,169.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,613.50 : 933,435 = 933,435 : x
  2. Step 2: Convert to fraction form
    435,613.50/933,435 = 933,435/x
  3. Step 3: Cross multiply
    435,613.50x = 933,435 × 933,435
  4. Step 4: Simplify right side
    435,613.50x = 871,300,899,225
  5. Step 5: Solve for x
    x = 871,300,899,225/435,613.50
  6. Step 6: Final answer
    x = 2,000,169.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.