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Finding the Third Proportional to 452,845 and 666,143

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Solution

The third proportional to 452,845 and 666,143 is: 979,908.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,845 : 666,143 = 666,143 : x
  2. Step 2: Convert to fraction form
    452,845/666,143 = 666,143/x
  3. Step 3: Cross multiply
    452,845x = 666,143 × 666,143
  4. Step 4: Simplify right side
    452,845x = 443,746,496,449
  5. Step 5: Solve for x
    x = 443,746,496,449/452,845
  6. Step 6: Final answer
    x = 979,908.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.