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Finding the Third Proportional to 314,728 and 499,122

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Solution

The third proportional to 314,728 and 499,122 is: 791,549.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,728 : 499,122 = 499,122 : x
  2. Step 2: Convert to fraction form
    314,728/499,122 = 499,122/x
  3. Step 3: Cross multiply
    314,728x = 499,122 × 499,122
  4. Step 4: Simplify right side
    314,728x = 249,122,770,884
  5. Step 5: Solve for x
    x = 249,122,770,884/314,728
  6. Step 6: Final answer
    x = 791,549.44

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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.