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Finding the Third Proportional to 314,738 and 499,137

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Solution

The third proportional to 314,738 and 499,137 is: 791,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,738 : 499,137 = 499,137 : x
  2. Step 2: Convert to fraction form
    314,738/499,137 = 499,137/x
  3. Step 3: Cross multiply
    314,738x = 499,137 × 499,137
  4. Step 4: Simplify right side
    314,738x = 249,137,744,769
  5. Step 5: Solve for x
    x = 249,137,744,769/314,738
  6. Step 6: Final answer
    x = 791,571.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.