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Finding the Third Proportional to 435,566 and 672,951

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Solution

The third proportional to 435,566 and 672,951 is: 1,039,711.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,566 : 672,951 = 672,951 : x
  2. Step 2: Convert to fraction form
    435,566/672,951 = 672,951/x
  3. Step 3: Cross multiply
    435,566x = 672,951 × 672,951
  4. Step 4: Simplify right side
    435,566x = 452,863,048,401
  5. Step 5: Solve for x
    x = 452,863,048,401/435,566
  6. Step 6: Final answer
    x = 1,039,711.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.