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Finding the Third Proportional to 377,266 and 824,492

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Solution

The third proportional to 377,266 and 824,492 is: 1,801,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,266 : 824,492 = 824,492 : x
  2. Step 2: Convert to fraction form
    377,266/824,492 = 824,492/x
  3. Step 3: Cross multiply
    377,266x = 824,492 × 824,492
  4. Step 4: Simplify right side
    377,266x = 679,787,058,064
  5. Step 5: Solve for x
    x = 679,787,058,064/377,266
  6. Step 6: Final answer
    x = 1,801,877.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.