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Finding the Third Proportional to 452,142 and 699,000

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Solution

The third proportional to 452,142 and 699,000 is: 1,080,636.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,142 : 699,000 = 699,000 : x
  2. Step 2: Convert to fraction form
    452,142/699,000 = 699,000/x
  3. Step 3: Cross multiply
    452,142x = 699,000 × 699,000
  4. Step 4: Simplify right side
    452,142x = 488,601,000,000
  5. Step 5: Solve for x
    x = 488,601,000,000/452,142
  6. Step 6: Final answer
    x = 1,080,636.17

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