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Finding the Third Proportional to 462,596.06 and 698,814.84

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Solution

The third proportional to 462,596.06 and 698,814.84 is: 1,055,655.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,596.06 : 698,814.84 = 698,814.84 : x
  2. Step 2: Convert to fraction form
    462,596.06/698,814.84 = 698,814.84/x
  3. Step 3: Cross multiply
    462,596.06x = 698,814.84 × 698,814.84
  4. Step 4: Simplify right side
    462,596.06x = 488,342,185,845.34
  5. Step 5: Solve for x
    x = 488,342,185,845.34/462,596.06
  6. Step 6: Final answer
    x = 1,055,655.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.