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Finding the Third Proportional to 408,076 and 573,643

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Solution

The third proportional to 408,076 and 573,643 is: 806,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,076 : 573,643 = 573,643 : x
  2. Step 2: Convert to fraction form
    408,076/573,643 = 573,643/x
  3. Step 3: Cross multiply
    408,076x = 573,643 × 573,643
  4. Step 4: Simplify right side
    408,076x = 329,066,291,449
  5. Step 5: Solve for x
    x = 329,066,291,449/408,076
  6. Step 6: Final answer
    x = 806,384.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.