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Finding the Third Proportional to 274,651.50 and 425,045.25

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Solution

The third proportional to 274,651.50 and 425,045.25 is: 657,791.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,651.50 : 425,045.25 = 425,045.25 : x
  2. Step 2: Convert to fraction form
    274,651.50/425,045.25 = 425,045.25/x
  3. Step 3: Cross multiply
    274,651.50x = 425,045.25 × 425,045.25
  4. Step 4: Simplify right side
    274,651.50x = 180,663,464,547.56
  5. Step 5: Solve for x
    x = 180,663,464,547.56/274,651.50
  6. Step 6: Final answer
    x = 657,791.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.