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Finding the Third Proportional to 384,281.72 and 574,330.50

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Solution

The third proportional to 384,281.72 and 574,330.50 is: 858,369.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,281.72 : 574,330.50 = 574,330.50 : x
  2. Step 2: Convert to fraction form
    384,281.72/574,330.50 = 574,330.50/x
  3. Step 3: Cross multiply
    384,281.72x = 574,330.50 × 574,330.50
  4. Step 4: Simplify right side
    384,281.72x = 329,855,523,230.25
  5. Step 5: Solve for x
    x = 329,855,523,230.25/384,281.72
  6. Step 6: Final answer
    x = 858,369.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.