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Finding the Third Proportional to 452,156 and 699,018

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Solution

The third proportional to 452,156 and 699,018 is: 1,080,658.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,156 : 699,018 = 699,018 : x
  2. Step 2: Convert to fraction form
    452,156/699,018 = 699,018/x
  3. Step 3: Cross multiply
    452,156x = 699,018 × 699,018
  4. Step 4: Simplify right side
    452,156x = 488,626,164,324
  5. Step 5: Solve for x
    x = 488,626,164,324/452,156
  6. Step 6: Final answer
    x = 1,080,658.37

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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.