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Finding the Third Proportional to 274,656 and 425,051

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Solution

The third proportional to 274,656 and 425,051 is: 657,798.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,656 : 425,051 = 425,051 : x
  2. Step 2: Convert to fraction form
    274,656/425,051 = 425,051/x
  3. Step 3: Cross multiply
    274,656x = 425,051 × 425,051
  4. Step 4: Simplify right side
    274,656x = 180,668,352,601
  5. Step 5: Solve for x
    x = 180,668,352,601/274,656
  6. Step 6: Final answer
    x = 657,798.67

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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.