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Finding the Third Proportional to 387,382.50 and 839,106

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Solution

The third proportional to 387,382.50 and 839,106 is: 1,817,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,382.50 : 839,106 = 839,106 : x
  2. Step 2: Convert to fraction form
    387,382.50/839,106 = 839,106/x
  3. Step 3: Cross multiply
    387,382.50x = 839,106 × 839,106
  4. Step 4: Simplify right side
    387,382.50x = 704,098,879,236
  5. Step 5: Solve for x
    x = 704,098,879,236/387,382.50
  6. Step 6: Final answer
    x = 1,817,580.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.