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Finding the Third Proportional to 423,292 and 576,442

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Solution

The third proportional to 423,292 and 576,442 is: 785,002.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,292 : 576,442 = 576,442 : x
  2. Step 2: Convert to fraction form
    423,292/576,442 = 576,442/x
  3. Step 3: Cross multiply
    423,292x = 576,442 × 576,442
  4. Step 4: Simplify right side
    423,292x = 332,285,379,364
  5. Step 5: Solve for x
    x = 332,285,379,364/423,292
  6. Step 6: Final answer
    x = 785,002.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.