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Finding the Third Proportional to 436,288.50 and 912,102.75

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Solution

The third proportional to 436,288.50 and 912,102.75 is: 1,906,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,288.50 : 912,102.75 = 912,102.75 : x
  2. Step 2: Convert to fraction form
    436,288.50/912,102.75 = 912,102.75/x
  3. Step 3: Cross multiply
    436,288.50x = 912,102.75 × 912,102.75
  4. Step 4: Simplify right side
    436,288.50x = 831,931,426,557.56
  5. Step 5: Solve for x
    x = 831,931,426,557.56/436,288.50
  6. Step 6: Final answer
    x = 1,906,837.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.