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Finding the Third Proportional to 451,521 and 614,992.50

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Solution

The third proportional to 451,521 and 614,992.50 is: 837,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,521 : 614,992.50 = 614,992.50 : x
  2. Step 2: Convert to fraction form
    451,521/614,992.50 = 614,992.50/x
  3. Step 3: Cross multiply
    451,521x = 614,992.50 × 614,992.50
  4. Step 4: Simplify right side
    451,521x = 378,215,775,056.25
  5. Step 5: Solve for x
    x = 378,215,775,056.25/451,521
  6. Step 6: Final answer
    x = 837,648.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.