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Finding the Third Proportional to 356,304 and 547,896

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Solution

The third proportional to 356,304 and 547,896 is: 842,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,304 : 547,896 = 547,896 : x
  2. Step 2: Convert to fraction form
    356,304/547,896 = 547,896/x
  3. Step 3: Cross multiply
    356,304x = 547,896 × 547,896
  4. Step 4: Simplify right side
    356,304x = 300,190,026,816
  5. Step 5: Solve for x
    x = 300,190,026,816/356,304
  6. Step 6: Final answer
    x = 842,510.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.