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Finding the Third Proportional to 433,140.75 and 669,394.13

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Solution

The third proportional to 433,140.75 and 669,394.13 is: 1,034,510.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,140.75 : 669,394.13 = 669,394.13 : x
  2. Step 2: Convert to fraction form
    433,140.75/669,394.13 = 669,394.13/x
  3. Step 3: Cross multiply
    433,140.75x = 669,394.13 × 669,394.13
  4. Step 4: Simplify right side
    433,140.75x = 448,088,494,584.52
  5. Step 5: Solve for x
    x = 448,088,494,584.52/433,140.75
  6. Step 6: Final answer
    x = 1,034,510.13

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