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Finding the Third Proportional to 208,734 and 456,852

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Solution

The third proportional to 208,734 and 456,852 is: 999,902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,734 : 456,852 = 456,852 : x
  2. Step 2: Convert to fraction form
    208,734/456,852 = 456,852/x
  3. Step 3: Cross multiply
    208,734x = 456,852 × 456,852
  4. Step 4: Simplify right side
    208,734x = 208,713,749,904
  5. Step 5: Solve for x
    x = 208,713,749,904/208,734
  6. Step 6: Final answer
    x = 999,902.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.