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Finding the Third Proportional to 384,292 and 574,320

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Solution

The third proportional to 384,292 and 574,320 is: 858,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,292 : 574,320 = 574,320 : x
  2. Step 2: Convert to fraction form
    384,292/574,320 = 574,320/x
  3. Step 3: Cross multiply
    384,292x = 574,320 × 574,320
  4. Step 4: Simplify right side
    384,292x = 329,843,462,400
  5. Step 5: Solve for x
    x = 329,843,462,400/384,292
  6. Step 6: Final answer
    x = 858,314.67

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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.