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Finding the Third Proportional to 377,184 and 813,417

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Solution

The third proportional to 377,184 and 813,417 is: 1,754,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,184 : 813,417 = 813,417 : x
  2. Step 2: Convert to fraction form
    377,184/813,417 = 813,417/x
  3. Step 3: Cross multiply
    377,184x = 813,417 × 813,417
  4. Step 4: Simplify right side
    377,184x = 661,647,215,889
  5. Step 5: Solve for x
    x = 661,647,215,889/377,184
  6. Step 6: Final answer
    x = 1,754,176.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.