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Finding the Third Proportional to 301,363.50 and 468,585

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Solution

The third proportional to 301,363.50 and 468,585 is: 728,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,363.50 : 468,585 = 468,585 : x
  2. Step 2: Convert to fraction form
    301,363.50/468,585 = 468,585/x
  3. Step 3: Cross multiply
    301,363.50x = 468,585 × 468,585
  4. Step 4: Simplify right side
    301,363.50x = 219,571,902,225
  5. Step 5: Solve for x
    x = 219,571,902,225/301,363.50
  6. Step 6: Final answer
    x = 728,594.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.