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Finding the Third Proportional to 435,716 and 672,996

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Solution

The third proportional to 435,716 and 672,996 is: 1,039,492.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,716 : 672,996 = 672,996 : x
  2. Step 2: Convert to fraction form
    435,716/672,996 = 672,996/x
  3. Step 3: Cross multiply
    435,716x = 672,996 × 672,996
  4. Step 4: Simplify right side
    435,716x = 452,923,616,016
  5. Step 5: Solve for x
    x = 452,923,616,016/435,716
  6. Step 6: Final answer
    x = 1,039,492.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.