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Finding the Third Proportional to 341,869 and 530,722.50

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Solution

The third proportional to 341,869 and 530,722.50 is: 823,901.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,869 : 530,722.50 = 530,722.50 : x
  2. Step 2: Convert to fraction form
    341,869/530,722.50 = 530,722.50/x
  3. Step 3: Cross multiply
    341,869x = 530,722.50 × 530,722.50
  4. Step 4: Simplify right side
    341,869x = 281,666,372,006.25
  5. Step 5: Solve for x
    x = 281,666,372,006.25/341,869
  6. Step 6: Final answer
    x = 823,901.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.