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Finding the Third Proportional to 403,767 and 588,124

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Solution

The third proportional to 403,767 and 588,124 is: 856,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,767 : 588,124 = 588,124 : x
  2. Step 2: Convert to fraction form
    403,767/588,124 = 588,124/x
  3. Step 3: Cross multiply
    403,767x = 588,124 × 588,124
  4. Step 4: Simplify right side
    403,767x = 345,889,839,376
  5. Step 5: Solve for x
    x = 345,889,839,376/403,767
  6. Step 6: Final answer
    x = 856,657.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.