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Finding the Third Proportional to 352,635.75 and 459,373.50

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Solution

The third proportional to 352,635.75 and 459,373.50 is: 598,419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,635.75 : 459,373.50 = 459,373.50 : x
  2. Step 2: Convert to fraction form
    352,635.75/459,373.50 = 459,373.50/x
  3. Step 3: Cross multiply
    352,635.75x = 459,373.50 × 459,373.50
  4. Step 4: Simplify right side
    352,635.75x = 211,024,012,502.25
  5. Step 5: Solve for x
    x = 211,024,012,502.25/352,635.75
  6. Step 6: Final answer
    x = 598,419.23

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.