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Finding the Third Proportional to 411,839.50 and 902,411

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Solution

The third proportional to 411,839.50 and 902,411 is: 1,977,337.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,839.50 : 902,411 = 902,411 : x
  2. Step 2: Convert to fraction form
    411,839.50/902,411 = 902,411/x
  3. Step 3: Cross multiply
    411,839.50x = 902,411 × 902,411
  4. Step 4: Simplify right side
    411,839.50x = 814,345,612,921
  5. Step 5: Solve for x
    x = 814,345,612,921/411,839.50
  6. Step 6: Final answer
    x = 1,977,337.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.