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Finding the Third Proportional to 330,462 and 708,867

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Solution

The third proportional to 330,462 and 708,867 is: 1,520,575.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,462 : 708,867 = 708,867 : x
  2. Step 2: Convert to fraction form
    330,462/708,867 = 708,867/x
  3. Step 3: Cross multiply
    330,462x = 708,867 × 708,867
  4. Step 4: Simplify right side
    330,462x = 502,492,423,689
  5. Step 5: Solve for x
    x = 502,492,423,689/330,462
  6. Step 6: Final answer
    x = 1,520,575.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.