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Finding the Third Proportional to 388,506.75 and 840,853.88

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Solution

The third proportional to 388,506.75 and 840,853.88 is: 1,819,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,506.75 : 840,853.88 = 840,853.88 : x
  2. Step 2: Convert to fraction form
    388,506.75/840,853.88 = 840,853.88/x
  3. Step 3: Cross multiply
    388,506.75x = 840,853.88 × 840,853.88
  4. Step 4: Simplify right side
    388,506.75x = 707,035,239,102.52
  5. Step 5: Solve for x
    x = 707,035,239,102.52/388,506.75
  6. Step 6: Final answer
    x = 1,819,878.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.