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Finding the Third Proportional to 455,052 and 612,592

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Solution

The third proportional to 455,052 and 612,592 is: 824,672.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,052 : 612,592 = 612,592 : x
  2. Step 2: Convert to fraction form
    455,052/612,592 = 612,592/x
  3. Step 3: Cross multiply
    455,052x = 612,592 × 612,592
  4. Step 4: Simplify right side
    455,052x = 375,268,958,464
  5. Step 5: Solve for x
    x = 375,268,958,464/455,052
  6. Step 6: Final answer
    x = 824,672.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.