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Finding the Third Proportional to 277,080 and 596,537

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Solution

The third proportional to 277,080 and 596,537 is: 1,284,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,080 : 596,537 = 596,537 : x
  2. Step 2: Convert to fraction form
    277,080/596,537 = 596,537/x
  3. Step 3: Cross multiply
    277,080x = 596,537 × 596,537
  4. Step 4: Simplify right side
    277,080x = 355,856,392,369
  5. Step 5: Solve for x
    x = 355,856,392,369/277,080
  6. Step 6: Final answer
    x = 1,284,309.20

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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.