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Finding the Third Proportional to 433,215 and 669,505.50

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Solution

The third proportional to 433,215 and 669,505.50 is: 1,034,677.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,215 : 669,505.50 = 669,505.50 : x
  2. Step 2: Convert to fraction form
    433,215/669,505.50 = 669,505.50/x
  3. Step 3: Cross multiply
    433,215x = 669,505.50 × 669,505.50
  4. Step 4: Simplify right side
    433,215x = 448,237,614,530.25
  5. Step 5: Solve for x
    x = 448,237,614,530.25/433,215
  6. Step 6: Final answer
    x = 1,034,677.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.