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Finding the Third Proportional to 409,279.50 and 883,737

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Solution

The third proportional to 409,279.50 and 883,737 is: 1,908,209.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,279.50 : 883,737 = 883,737 : x
  2. Step 2: Convert to fraction form
    409,279.50/883,737 = 883,737/x
  3. Step 3: Cross multiply
    409,279.50x = 883,737 × 883,737
  4. Step 4: Simplify right side
    409,279.50x = 780,991,085,169
  5. Step 5: Solve for x
    x = 780,991,085,169/409,279.50
  6. Step 6: Final answer
    x = 1,908,209.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.