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Finding the Third Proportional to 516,466.13 and 743,797.69

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Solution

The third proportional to 516,466.13 and 743,797.69 is: 1,071,193.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,466.13 : 743,797.69 = 743,797.69 : x
  2. Step 2: Convert to fraction form
    516,466.13/743,797.69 = 743,797.69/x
  3. Step 3: Cross multiply
    516,466.13x = 743,797.69 × 743,797.69
  4. Step 4: Simplify right side
    516,466.13x = 553,234,999,930.35
  5. Step 5: Solve for x
    x = 553,234,999,930.35/516,466.13
  6. Step 6: Final answer
    x = 1,071,193.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.