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Finding the Third Proportional to 431,032.50 and 923,996.25

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Solution

The third proportional to 431,032.50 and 923,996.25 is: 1,980,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,032.50 : 923,996.25 = 923,996.25 : x
  2. Step 2: Convert to fraction form
    431,032.50/923,996.25 = 923,996.25/x
  3. Step 3: Cross multiply
    431,032.50x = 923,996.25 × 923,996.25
  4. Step 4: Simplify right side
    431,032.50x = 853,769,070,014.06
  5. Step 5: Solve for x
    x = 853,769,070,014.06/431,032.50
  6. Step 6: Final answer
    x = 1,980,753.35

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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.