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Finding the Third Proportional to 277,496 and 597,076

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Solution

The third proportional to 277,496 and 597,076 is: 1,284,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,496 : 597,076 = 597,076 : x
  2. Step 2: Convert to fraction form
    277,496/597,076 = 597,076/x
  3. Step 3: Cross multiply
    277,496x = 597,076 × 597,076
  4. Step 4: Simplify right side
    277,496x = 356,499,749,776
  5. Step 5: Solve for x
    x = 356,499,749,776/277,496
  6. Step 6: Final answer
    x = 1,284,702.30

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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.