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Finding the Third Proportional to 554,080 and 823,735

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Solution

The third proportional to 554,080 and 823,735 is: 1,224,623.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,080 : 823,735 = 823,735 : x
  2. Step 2: Convert to fraction form
    554,080/823,735 = 823,735/x
  3. Step 3: Cross multiply
    554,080x = 823,735 × 823,735
  4. Step 4: Simplify right side
    554,080x = 678,539,350,225
  5. Step 5: Solve for x
    x = 678,539,350,225/554,080
  6. Step 6: Final answer
    x = 1,224,623.43

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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.