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Finding the Third Proportional to 264,423.75 and 402,834.75

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Solution

The third proportional to 264,423.75 and 402,834.75 is: 613,696.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,423.75 : 402,834.75 = 402,834.75 : x
  2. Step 2: Convert to fraction form
    264,423.75/402,834.75 = 402,834.75/x
  3. Step 3: Cross multiply
    264,423.75x = 402,834.75 × 402,834.75
  4. Step 4: Simplify right side
    264,423.75x = 162,275,835,807.56
  5. Step 5: Solve for x
    x = 162,275,835,807.56/264,423.75
  6. Step 6: Final answer
    x = 613,696.14

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.