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Finding the Third Proportional to 383,695 and 807,160

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Solution

The third proportional to 383,695 and 807,160 is: 1,697,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,695 : 807,160 = 807,160 : x
  2. Step 2: Convert to fraction form
    383,695/807,160 = 807,160/x
  3. Step 3: Cross multiply
    383,695x = 807,160 × 807,160
  4. Step 4: Simplify right side
    383,695x = 651,507,265,600
  5. Step 5: Solve for x
    x = 651,507,265,600/383,695
  6. Step 6: Final answer
    x = 1,697,982.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.