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Finding the Third Proportional to 370,721.25 and 554,805

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Solution

The third proportional to 370,721.25 and 554,805 is: 830,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,721.25 : 554,805 = 554,805 : x
  2. Step 2: Convert to fraction form
    370,721.25/554,805 = 554,805/x
  3. Step 3: Cross multiply
    370,721.25x = 554,805 × 554,805
  4. Step 4: Simplify right side
    370,721.25x = 307,808,588,025
  5. Step 5: Solve for x
    x = 307,808,588,025/370,721.25
  6. Step 6: Final answer
    x = 830,296.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.