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Finding the Third Proportional to 435,346 and 638,115

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Solution

The third proportional to 435,346 and 638,115 is: 935,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,346 : 638,115 = 638,115 : x
  2. Step 2: Convert to fraction form
    435,346/638,115 = 638,115/x
  3. Step 3: Cross multiply
    435,346x = 638,115 × 638,115
  4. Step 4: Simplify right side
    435,346x = 407,190,753,225
  5. Step 5: Solve for x
    x = 407,190,753,225/435,346
  6. Step 6: Final answer
    x = 935,326.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.