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Finding the Third Proportional to 452,112 and 664,312

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Solution

The third proportional to 452,112 and 664,312 is: 976,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,112 : 664,312 = 664,312 : x
  2. Step 2: Convert to fraction form
    452,112/664,312 = 664,312/x
  3. Step 3: Cross multiply
    452,112x = 664,312 × 664,312
  4. Step 4: Simplify right side
    452,112x = 441,310,433,344
  5. Step 5: Solve for x
    x = 441,310,433,344/452,112
  6. Step 6: Final answer
    x = 976,108.65

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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.