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Finding the Third Proportional to 241,905 and 384,309

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Solution

The third proportional to 241,905 and 384,309 is: 610,543.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,905 : 384,309 = 384,309 : x
  2. Step 2: Convert to fraction form
    241,905/384,309 = 384,309/x
  3. Step 3: Cross multiply
    241,905x = 384,309 × 384,309
  4. Step 4: Simplify right side
    241,905x = 147,693,407,481
  5. Step 5: Solve for x
    x = 147,693,407,481/241,905
  6. Step 6: Final answer
    x = 610,543.01

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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.