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Finding the Third Proportional to 277,050 and 369,747

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Solution

The third proportional to 277,050 and 369,747 is: 493,459.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,050 : 369,747 = 369,747 : x
  2. Step 2: Convert to fraction form
    277,050/369,747 = 369,747/x
  3. Step 3: Cross multiply
    277,050x = 369,747 × 369,747
  4. Step 4: Simplify right side
    277,050x = 136,712,844,009
  5. Step 5: Solve for x
    x = 136,712,844,009/277,050
  6. Step 6: Final answer
    x = 493,459.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.