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Finding the Third Proportional to 410,981.50 and 644,871

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Solution

The third proportional to 410,981.50 and 644,871 is: 1,011,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,981.50 : 644,871 = 644,871 : x
  2. Step 2: Convert to fraction form
    410,981.50/644,871 = 644,871/x
  3. Step 3: Cross multiply
    410,981.50x = 644,871 × 644,871
  4. Step 4: Simplify right side
    410,981.50x = 415,858,606,641
  5. Step 5: Solve for x
    x = 415,858,606,641/410,981.50
  6. Step 6: Final answer
    x = 1,011,866.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.