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Finding the Third Proportional to 369,947.25 and 554,970.38

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Solution

The third proportional to 369,947.25 and 554,970.38 is: 832,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,947.25 : 554,970.38 = 554,970.38 : x
  2. Step 2: Convert to fraction form
    369,947.25/554,970.38 = 554,970.38/x
  3. Step 3: Cross multiply
    369,947.25x = 554,970.38 × 554,970.38
  4. Step 4: Simplify right side
    369,947.25x = 307,992,117,127.64
  5. Step 5: Solve for x
    x = 307,992,117,127.64/369,947.25
  6. Step 6: Final answer
    x = 832,529.82

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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.