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Finding the Third Proportional to 401,562 and 873,090

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Solution

The third proportional to 401,562 and 873,090 is: 1,898,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,562 : 873,090 = 873,090 : x
  2. Step 2: Convert to fraction form
    401,562/873,090 = 873,090/x
  3. Step 3: Cross multiply
    401,562x = 873,090 × 873,090
  4. Step 4: Simplify right side
    401,562x = 762,286,148,100
  5. Step 5: Solve for x
    x = 762,286,148,100/401,562
  6. Step 6: Final answer
    x = 1,898,302.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.