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Finding the Third Proportional to 277,209 and 598,734

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Solution

The third proportional to 277,209 and 598,734 is: 1,293,184.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,209 : 598,734 = 598,734 : x
  2. Step 2: Convert to fraction form
    277,209/598,734 = 598,734/x
  3. Step 3: Cross multiply
    277,209x = 598,734 × 598,734
  4. Step 4: Simplify right side
    277,209x = 358,482,402,756
  5. Step 5: Solve for x
    x = 358,482,402,756/277,209
  6. Step 6: Final answer
    x = 1,293,184.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.