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Finding the Third Proportional to 322,277 and 708,994

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Solution

The third proportional to 322,277 and 708,994 is: 1,559,752.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,277 : 708,994 = 708,994 : x
  2. Step 2: Convert to fraction form
    322,277/708,994 = 708,994/x
  3. Step 3: Cross multiply
    322,277x = 708,994 × 708,994
  4. Step 4: Simplify right side
    322,277x = 502,672,492,036
  5. Step 5: Solve for x
    x = 502,672,492,036/322,277
  6. Step 6: Final answer
    x = 1,559,752.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.