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Finding the Third Proportional to 458,373.94 and 598,919.06

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Solution

The third proportional to 458,373.94 and 598,919.06 is: 782,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,373.94 : 598,919.06 = 598,919.06 : x
  2. Step 2: Convert to fraction form
    458,373.94/598,919.06 = 598,919.06/x
  3. Step 3: Cross multiply
    458,373.94x = 598,919.06 × 598,919.06
  4. Step 4: Simplify right side
    458,373.94x = 358,704,043,425.88
  5. Step 5: Solve for x
    x = 358,704,043,425.88/458,373.94
  6. Step 6: Final answer
    x = 782,557.68

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.