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Finding the Third Proportional to 419,945.06 and 646,354.13

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Solution

The third proportional to 419,945.06 and 646,354.13 is: 994,829.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,945.06 : 646,354.13 = 646,354.13 : x
  2. Step 2: Convert to fraction form
    419,945.06/646,354.13 = 646,354.13/x
  3. Step 3: Cross multiply
    419,945.06x = 646,354.13 × 646,354.13
  4. Step 4: Simplify right side
    419,945.06x = 417,773,654,904.52
  5. Step 5: Solve for x
    x = 417,773,654,904.52/419,945.06
  6. Step 6: Final answer
    x = 994,829.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.