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Finding the Third Proportional to 388,329.94 and 847,259.06

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Solution

The third proportional to 388,329.94 and 847,259.06 is: 1,848,551.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,329.94 : 847,259.06 = 847,259.06 : x
  2. Step 2: Convert to fraction form
    388,329.94/847,259.06 = 847,259.06/x
  3. Step 3: Cross multiply
    388,329.94x = 847,259.06 × 847,259.06
  4. Step 4: Simplify right side
    388,329.94x = 717,847,918,988.38
  5. Step 5: Solve for x
    x = 717,847,918,988.38/388,329.94
  6. Step 6: Final answer
    x = 1,848,551.58

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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.