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Finding the Third Proportional to 368,852 and 585,534

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Solution

The third proportional to 368,852 and 585,534 is: 929,505.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,852 : 585,534 = 585,534 : x
  2. Step 2: Convert to fraction form
    368,852/585,534 = 585,534/x
  3. Step 3: Cross multiply
    368,852x = 585,534 × 585,534
  4. Step 4: Simplify right side
    368,852x = 342,850,065,156
  5. Step 5: Solve for x
    x = 342,850,065,156/368,852
  6. Step 6: Final answer
    x = 929,505.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.