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Finding the Third Proportional to 335,677 and 512,281

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Solution

The third proportional to 335,677 and 512,281 is: 781,798.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,677 : 512,281 = 512,281 : x
  2. Step 2: Convert to fraction form
    335,677/512,281 = 512,281/x
  3. Step 3: Cross multiply
    335,677x = 512,281 × 512,281
  4. Step 4: Simplify right side
    335,677x = 262,431,822,961
  5. Step 5: Solve for x
    x = 262,431,822,961/335,677
  6. Step 6: Final answer
    x = 781,798.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.