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Finding the Third Proportional to 332,778 and 499,005

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Solution

The third proportional to 332,778 and 499,005 is: 748,264.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,778 : 499,005 = 499,005 : x
  2. Step 2: Convert to fraction form
    332,778/499,005 = 499,005/x
  3. Step 3: Cross multiply
    332,778x = 499,005 × 499,005
  4. Step 4: Simplify right side
    332,778x = 249,005,990,025
  5. Step 5: Solve for x
    x = 249,005,990,025/332,778
  6. Step 6: Final answer
    x = 748,264.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.