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Finding the Third Proportional to 383,784 and 575,724

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Solution

The third proportional to 383,784 and 575,724 is: 863,658.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,784 : 575,724 = 575,724 : x
  2. Step 2: Convert to fraction form
    383,784/575,724 = 575,724/x
  3. Step 3: Cross multiply
    383,784x = 575,724 × 575,724
  4. Step 4: Simplify right side
    383,784x = 331,458,124,176
  5. Step 5: Solve for x
    x = 331,458,124,176/383,784
  6. Step 6: Final answer
    x = 863,658.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.