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Finding the Third Proportional to 316,882 and 494,763

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Solution

The third proportional to 316,882 and 494,763 is: 772,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,882 : 494,763 = 494,763 : x
  2. Step 2: Convert to fraction form
    316,882/494,763 = 494,763/x
  3. Step 3: Cross multiply
    316,882x = 494,763 × 494,763
  4. Step 4: Simplify right side
    316,882x = 244,790,426,169
  5. Step 5: Solve for x
    x = 244,790,426,169/316,882
  6. Step 6: Final answer
    x = 772,497.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.