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Finding the Third Proportional to 277,788 and 598,830

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Solution

The third proportional to 277,788 and 598,830 is: 1,290,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,788 : 598,830 = 598,830 : x
  2. Step 2: Convert to fraction form
    277,788/598,830 = 598,830/x
  3. Step 3: Cross multiply
    277,788x = 598,830 × 598,830
  4. Step 4: Simplify right side
    277,788x = 358,597,368,900
  5. Step 5: Solve for x
    x = 358,597,368,900/277,788
  6. Step 6: Final answer
    x = 1,290,903.02

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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.