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Finding the Third Proportional to 438,434.50 and 698,172

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Solution

The third proportional to 438,434.50 and 698,172 is: 1,111,783.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,434.50 : 698,172 = 698,172 : x
  2. Step 2: Convert to fraction form
    438,434.50/698,172 = 698,172/x
  3. Step 3: Cross multiply
    438,434.50x = 698,172 × 698,172
  4. Step 4: Simplify right side
    438,434.50x = 487,444,141,584
  5. Step 5: Solve for x
    x = 487,444,141,584/438,434.50
  6. Step 6: Final answer
    x = 1,111,783.27

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.