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Finding the Third Proportional to 274,925.81 and 574,975.13

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Solution

The third proportional to 274,925.81 and 574,975.13 is: 1,202,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,925.81 : 574,975.13 = 574,975.13 : x
  2. Step 2: Convert to fraction form
    274,925.81/574,975.13 = 574,975.13/x
  3. Step 3: Cross multiply
    274,925.81x = 574,975.13 × 574,975.13
  4. Step 4: Simplify right side
    274,925.81x = 330,596,394,368.77
  5. Step 5: Solve for x
    x = 330,596,394,368.77/274,925.81
  6. Step 6: Final answer
    x = 1,202,493.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.