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Finding the Third Proportional to 379,444 and 808,047

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Solution

The third proportional to 379,444 and 808,047 is: 1,720,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,444 : 808,047 = 808,047 : x
  2. Step 2: Convert to fraction form
    379,444/808,047 = 808,047/x
  3. Step 3: Cross multiply
    379,444x = 808,047 × 808,047
  4. Step 4: Simplify right side
    379,444x = 652,939,954,209
  5. Step 5: Solve for x
    x = 652,939,954,209/379,444
  6. Step 6: Final answer
    x = 1,720,780.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.