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Finding the Third Proportional to 277,359 and 598,914

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Solution

The third proportional to 277,359 and 598,914 is: 1,293,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,359 : 598,914 = 598,914 : x
  2. Step 2: Convert to fraction form
    277,359/598,914 = 598,914/x
  3. Step 3: Cross multiply
    277,359x = 598,914 × 598,914
  4. Step 4: Simplify right side
    277,359x = 358,697,979,396
  5. Step 5: Solve for x
    x = 358,697,979,396/277,359
  6. Step 6: Final answer
    x = 1,293,262.45

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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.