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Finding the Third Proportional to 423,522.75 and 603,718.50

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Solution

The third proportional to 423,522.75 and 603,718.50 is: 860,581.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,522.75 : 603,718.50 = 603,718.50 : x
  2. Step 2: Convert to fraction form
    423,522.75/603,718.50 = 603,718.50/x
  3. Step 3: Cross multiply
    423,522.75x = 603,718.50 × 603,718.50
  4. Step 4: Simplify right side
    423,522.75x = 364,476,027,242.25
  5. Step 5: Solve for x
    x = 364,476,027,242.25/423,522.75
  6. Step 6: Final answer
    x = 860,581.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.