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Finding the Third Proportional to 452,223 and 664,848

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Solution

The third proportional to 452,223 and 664,848 is: 977,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,223 : 664,848 = 664,848 : x
  2. Step 2: Convert to fraction form
    452,223/664,848 = 664,848/x
  3. Step 3: Cross multiply
    452,223x = 664,848 × 664,848
  4. Step 4: Simplify right side
    452,223x = 442,022,863,104
  5. Step 5: Solve for x
    x = 442,022,863,104/452,223
  6. Step 6: Final answer
    x = 977,444.45

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Why These Related Problems?

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