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Finding the Third Proportional to 369,319.50 and 554,343.75

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Solution

The third proportional to 369,319.50 and 554,343.75 is: 832,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,319.50 : 554,343.75 = 554,343.75 : x
  2. Step 2: Convert to fraction form
    369,319.50/554,343.75 = 554,343.75/x
  3. Step 3: Cross multiply
    369,319.50x = 554,343.75 × 554,343.75
  4. Step 4: Simplify right side
    369,319.50x = 307,296,993,164.06
  5. Step 5: Solve for x
    x = 307,296,993,164.06/369,319.50
  6. Step 6: Final answer
    x = 832,062.73

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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.