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Finding the Third Proportional to 388,833.38 and 845,827.50

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Solution

The third proportional to 388,833.38 and 845,827.50 is: 1,839,924.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,833.38 : 845,827.50 = 845,827.50 : x
  2. Step 2: Convert to fraction form
    388,833.38/845,827.50 = 845,827.50/x
  3. Step 3: Cross multiply
    388,833.38x = 845,827.50 × 845,827.50
  4. Step 4: Simplify right side
    388,833.38x = 715,424,159,756.25
  5. Step 5: Solve for x
    x = 715,424,159,756.25/388,833.38
  6. Step 6: Final answer
    x = 1,839,924.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.