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Finding the Third Proportional to 430,272 and 935,172

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Solution

The third proportional to 430,272 and 935,172 is: 2,032,543.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,272 : 935,172 = 935,172 : x
  2. Step 2: Convert to fraction form
    430,272/935,172 = 935,172/x
  3. Step 3: Cross multiply
    430,272x = 935,172 × 935,172
  4. Step 4: Simplify right side
    430,272x = 874,546,669,584
  5. Step 5: Solve for x
    x = 874,546,669,584/430,272
  6. Step 6: Final answer
    x = 2,032,543.76

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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.