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Finding the Third Proportional to 377,910 and 798,466

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Solution

The third proportional to 377,910 and 798,466 is: 1,687,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,910 : 798,466 = 798,466 : x
  2. Step 2: Convert to fraction form
    377,910/798,466 = 798,466/x
  3. Step 3: Cross multiply
    377,910x = 798,466 × 798,466
  4. Step 4: Simplify right side
    377,910x = 637,547,953,156
  5. Step 5: Solve for x
    x = 637,547,953,156/377,910
  6. Step 6: Final answer
    x = 1,687,036.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.