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Finding the Third Proportional to 410,845.50 and 887,301

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Solution

The third proportional to 410,845.50 and 887,301 is: 1,916,299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,845.50 : 887,301 = 887,301 : x
  2. Step 2: Convert to fraction form
    410,845.50/887,301 = 887,301/x
  3. Step 3: Cross multiply
    410,845.50x = 887,301 × 887,301
  4. Step 4: Simplify right side
    410,845.50x = 787,303,064,601
  5. Step 5: Solve for x
    x = 787,303,064,601/410,845.50
  6. Step 6: Final answer
    x = 1,916,299.59

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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.