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Finding the Third Proportional to 377,008 and 819,464

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Solution

The third proportional to 377,008 and 819,464 is: 1,781,185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,008 : 819,464 = 819,464 : x
  2. Step 2: Convert to fraction form
    377,008/819,464 = 819,464/x
  3. Step 3: Cross multiply
    377,008x = 819,464 × 819,464
  4. Step 4: Simplify right side
    377,008x = 671,521,247,296
  5. Step 5: Solve for x
    x = 671,521,247,296/377,008
  6. Step 6: Final answer
    x = 1,781,185.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.