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Finding the Third Proportional to 382,097.25 and 830,533.50

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Solution

The third proportional to 382,097.25 and 830,533.50 is: 1,805,262.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,097.25 : 830,533.50 = 830,533.50 : x
  2. Step 2: Convert to fraction form
    382,097.25/830,533.50 = 830,533.50/x
  3. Step 3: Cross multiply
    382,097.25x = 830,533.50 × 830,533.50
  4. Step 4: Simplify right side
    382,097.25x = 689,785,894,622.25
  5. Step 5: Solve for x
    x = 689,785,894,622.25/382,097.25
  6. Step 6: Final answer
    x = 1,805,262.65

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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.