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Finding the Third Proportional to 321,285 and 697,877.50

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Solution

The third proportional to 321,285 and 697,877.50 is: 1,515,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,285 : 697,877.50 = 697,877.50 : x
  2. Step 2: Convert to fraction form
    321,285/697,877.50 = 697,877.50/x
  3. Step 3: Cross multiply
    321,285x = 697,877.50 × 697,877.50
  4. Step 4: Simplify right side
    321,285x = 487,033,005,006.25
  5. Step 5: Solve for x
    x = 487,033,005,006.25/321,285
  6. Step 6: Final answer
    x = 1,515,890.89

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