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Finding the Third Proportional to 189,365 and 404,973

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Solution

The third proportional to 189,365 and 404,973 is: 866,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,365 : 404,973 = 404,973 : x
  2. Step 2: Convert to fraction form
    189,365/404,973 = 404,973/x
  3. Step 3: Cross multiply
    189,365x = 404,973 × 404,973
  4. Step 4: Simplify right side
    189,365x = 164,003,130,729
  5. Step 5: Solve for x
    x = 164,003,130,729/189,365
  6. Step 6: Final answer
    x = 866,068.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.