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Finding the Third Proportional to 374,476 and 801,440

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Solution

The third proportional to 374,476 and 801,440 is: 1,715,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,476 : 801,440 = 801,440 : x
  2. Step 2: Convert to fraction form
    374,476/801,440 = 801,440/x
  3. Step 3: Cross multiply
    374,476x = 801,440 × 801,440
  4. Step 4: Simplify right side
    374,476x = 642,306,073,600
  5. Step 5: Solve for x
    x = 642,306,073,600/374,476
  6. Step 6: Final answer
    x = 1,715,212.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.