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Finding the Third Proportional to 277,497 and 594,362

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Solution

The third proportional to 277,497 and 594,362 is: 1,273,045.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,497 : 594,362 = 594,362 : x
  2. Step 2: Convert to fraction form
    277,497/594,362 = 594,362/x
  3. Step 3: Cross multiply
    277,497x = 594,362 × 594,362
  4. Step 4: Simplify right side
    277,497x = 353,266,187,044
  5. Step 5: Solve for x
    x = 353,266,187,044/277,497
  6. Step 6: Final answer
    x = 1,273,045.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.