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Finding the Third Proportional to 455,059 and 612,600

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Solution

The third proportional to 455,059 and 612,600 is: 824,681.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,059 : 612,600 = 612,600 : x
  2. Step 2: Convert to fraction form
    455,059/612,600 = 612,600/x
  3. Step 3: Cross multiply
    455,059x = 612,600 × 612,600
  4. Step 4: Simplify right side
    455,059x = 375,278,760,000
  5. Step 5: Solve for x
    x = 375,278,760,000/455,059
  6. Step 6: Final answer
    x = 824,681.55

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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.