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Finding the Third Proportional to 277,461 and 597,031.75

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Solution

The third proportional to 277,461 and 597,031.75 is: 1,284,673.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,461 : 597,031.75 = 597,031.75 : x
  2. Step 2: Convert to fraction form
    277,461/597,031.75 = 597,031.75/x
  3. Step 3: Cross multiply
    277,461x = 597,031.75 × 597,031.75
  4. Step 4: Simplify right side
    277,461x = 356,446,910,508.06
  5. Step 5: Solve for x
    x = 356,446,910,508.06/277,461
  6. Step 6: Final answer
    x = 1,284,673.92

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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.