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Finding the Third Proportional to 328,394.25 and 712,845.56

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Solution

The third proportional to 328,394.25 and 712,845.56 is: 1,547,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,394.25 : 712,845.56 = 712,845.56 : x
  2. Step 2: Convert to fraction form
    328,394.25/712,845.56 = 712,845.56/x
  3. Step 3: Cross multiply
    328,394.25x = 712,845.56 × 712,845.56
  4. Step 4: Simplify right side
    328,394.25x = 508,148,795,975.94
  5. Step 5: Solve for x
    x = 508,148,795,975.94/328,394.25
  6. Step 6: Final answer
    x = 1,547,374.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.