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Finding the Third Proportional to 257,114 and 553,739

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Solution

The third proportional to 257,114 and 553,739 is: 1,192,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,114 : 553,739 = 553,739 : x
  2. Step 2: Convert to fraction form
    257,114/553,739 = 553,739/x
  3. Step 3: Cross multiply
    257,114x = 553,739 × 553,739
  4. Step 4: Simplify right side
    257,114x = 306,626,880,121
  5. Step 5: Solve for x
    x = 306,626,880,121/257,114
  6. Step 6: Final answer
    x = 1,192,571.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.