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Finding the Third Proportional to 295,523.25 and 468,025.50

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Solution

The third proportional to 295,523.25 and 468,025.50 is: 741,220.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,523.25 : 468,025.50 = 468,025.50 : x
  2. Step 2: Convert to fraction form
    295,523.25/468,025.50 = 468,025.50/x
  3. Step 3: Cross multiply
    295,523.25x = 468,025.50 × 468,025.50
  4. Step 4: Simplify right side
    295,523.25x = 219,047,868,650.25
  5. Step 5: Solve for x
    x = 219,047,868,650.25/295,523.25
  6. Step 6: Final answer
    x = 741,220.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.