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Finding the Third Proportional to 335,583 and 654,156

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Solution

The third proportional to 335,583 and 654,156 is: 1,275,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,583 : 654,156 = 654,156 : x
  2. Step 2: Convert to fraction form
    335,583/654,156 = 654,156/x
  3. Step 3: Cross multiply
    335,583x = 654,156 × 654,156
  4. Step 4: Simplify right side
    335,583x = 427,920,072,336
  5. Step 5: Solve for x
    x = 427,920,072,336/335,583
  6. Step 6: Final answer
    x = 1,275,154.20

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.