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Finding the Third Proportional to 322,897.50 and 704,817

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Solution

The third proportional to 322,897.50 and 704,817 is: 1,538,466.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,897.50 : 704,817 = 704,817 : x
  2. Step 2: Convert to fraction form
    322,897.50/704,817 = 704,817/x
  3. Step 3: Cross multiply
    322,897.50x = 704,817 × 704,817
  4. Step 4: Simplify right side
    322,897.50x = 496,767,003,489
  5. Step 5: Solve for x
    x = 496,767,003,489/322,897.50
  6. Step 6: Final answer
    x = 1,538,466.55

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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.