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Finding the Third Proportional to 301,612.50 and 468,955.50

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Solution

The third proportional to 301,612.50 and 468,955.50 is: 729,145.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,612.50 : 468,955.50 = 468,955.50 : x
  2. Step 2: Convert to fraction form
    301,612.50/468,955.50 = 468,955.50/x
  3. Step 3: Cross multiply
    301,612.50x = 468,955.50 × 468,955.50
  4. Step 4: Simplify right side
    301,612.50x = 219,919,260,980.25
  5. Step 5: Solve for x
    x = 219,919,260,980.25/301,612.50
  6. Step 6: Final answer
    x = 729,145.05

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Why These Related Problems?

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