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Finding the Third Proportional to 295,522.50 and 468,024.75

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Solution

The third proportional to 295,522.50 and 468,024.75 is: 741,219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,522.50 : 468,024.75 = 468,024.75 : x
  2. Step 2: Convert to fraction form
    295,522.50/468,024.75 = 468,024.75/x
  3. Step 3: Cross multiply
    295,522.50x = 468,024.75 × 468,024.75
  4. Step 4: Simplify right side
    295,522.50x = 219,047,166,612.56
  5. Step 5: Solve for x
    x = 219,047,166,612.56/295,522.50
  6. Step 6: Final answer
    x = 741,219.93

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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.