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Finding the Third Proportional to 411,330 and 917,185.50

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Solution

The third proportional to 411,330 and 917,185.50 is: 2,045,144.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,330 : 917,185.50 = 917,185.50 : x
  2. Step 2: Convert to fraction form
    411,330/917,185.50 = 917,185.50/x
  3. Step 3: Cross multiply
    411,330x = 917,185.50 × 917,185.50
  4. Step 4: Simplify right side
    411,330x = 841,229,241,410.25
  5. Step 5: Solve for x
    x = 841,229,241,410.25/411,330
  6. Step 6: Final answer
    x = 2,045,144.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.