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Finding the Third Proportional to 316,817 and 486,312

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Solution

The third proportional to 316,817 and 486,312 is: 746,485.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,817 : 486,312 = 486,312 : x
  2. Step 2: Convert to fraction form
    316,817/486,312 = 486,312/x
  3. Step 3: Cross multiply
    316,817x = 486,312 × 486,312
  4. Step 4: Simplify right side
    316,817x = 236,499,361,344
  5. Step 5: Solve for x
    x = 236,499,361,344/316,817
  6. Step 6: Final answer
    x = 746,485.70

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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.