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Finding the Third Proportional to 265,792.50 and 383,784.75

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Solution

The third proportional to 265,792.50 and 383,784.75 is: 554,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,792.50 : 383,784.75 = 383,784.75 : x
  2. Step 2: Convert to fraction form
    265,792.50/383,784.75 = 383,784.75/x
  3. Step 3: Cross multiply
    265,792.50x = 383,784.75 × 383,784.75
  4. Step 4: Simplify right side
    265,792.50x = 147,290,734,332.56
  5. Step 5: Solve for x
    x = 147,290,734,332.56/265,792.50
  6. Step 6: Final answer
    x = 554,156.85

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.